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Connections

Group 1
Words that contain the sound FOUR - Before, Guffaw, Metaphor, Semaphore

Group 2
Words that form movie titles when combined with the number EIGHT - Eight Below, 8 Mile, 8MM, Super 8

Group 3
Words that mean FIFTEEN - F (hexadecimal), Quince (Spanish), XV (Roman numerals), Commodore (Cockney rhyming slang) (credit to BeastlyGerbil for spotting this in the comments)

Group 4
Things that composed of SIXTEEN parts - Myers-Briggs (16 categories), Snes (16-bit), Pound (16 ounces), Pool (16 balls)

Group 5
Words which are TWENTY-THREE in an ordering - Harrison (23rd U.S. President), Isaiah (23rd book of the Bible), V (23rd chemical symbol of the periodic table), Whiskey (23rd letter of the Nato Phonetic alphabet),

Group 6
Words associated with the number FORTY-TWO - Asterisk (decimal code), Czechoslovakia (calling code), Loire (France department number), Robinson (famous for wearing number 42)

So the categories are

4, 8, 15, 16, 23, 42

And we recognise these as being

The six numbers that reappear consistently in the TV Show Lost

So the four-letter word must be

Lost

Title

"Off the beaten track" means in an isolated place. In the TV show Lost, the characters are trapped on a mysterious remote island when their plane crashes.

Connections

Group 1
Words that contain the sound FOUR - Before, Guffaw, Metaphor, Semaphore

Group 2
Words that form movie titles when combined with the number EIGHT - Eight Below, 8 Mile, 8MM, Super 8

Group 3
Words that mean FIFTEEN - F (hexadecimal), Quince (Spanish), XV (Roman numerals), Commodore (Cockney rhyming slang) (credit to BeastlyGerbil for spotting this in the comments)

Group 4
Things that are composed of SIXTEEN parts - Myers-Briggs (16 categories), SNES (16-bit), Pound (16 ounces), Pool (16 balls)

Group 5
Words which are TWENTY-THREE in an ordering - Harrison (23rd U.S. President), Isaiah (23rd book of the Bible), V (23rd chemical symbol of the periodic table), Whiskey (23rd letter of the NATO phonetic alphabet),

Group 6
Words associated with the number FORTY-TWO - Asterisk (decimal code), Czechoslovakia (calling code), Loire (France department number), Robinson (famous for wearing number 42)

So the categories are

4, 8, 15, 16, 23, 42

And we recognise these as being

The six numbers that reappear consistently in the TV show Lost

So the four-letter word must be

Lost

Title

"Off the beaten track" means in an isolated place. In the TV show Lost, the characters are trapped on a mysterious remote island when their plane crashes.

Connections

Group 1
Words that contain the sound FOUR - Before, Guffaw, Metaphor, Semaphore

Group 2
Words that form movie titles when combined with the number EIGHT - Eight Below, 8 Mile, 8MM, Super 8

Group 3
Words that mean FIFTEEN - F (hexadecimal), Quince (Spanish), XV (Roman numerals), Commodore (Cockney rhyming slang) (credit to BeastlyGerbil for spotting this in the comments)

Group 4
Things that composed of SIXTEEN parts - Myers-Briggs (16 categories), Snes (16-bit), Pound (16 ounces), Pool (16 balls)

Group 5
Words which are TWENTY-THREE in an ordering - Harrison (23rd President), Isaiah (23rd book of the Bible), V (23rd element of the periodic table), Whiskey (23rd letter of the Nato Phonetic alphabet),

Group 6
Words associated with the number FORTY-TWO - Asterisk (decimal code), Czechoslovakia (calling code), Loire (France department number), Robinson (famous for wearing number 42)

So the categories are

4, 8, 15, 16, 23, 42

And we recognise these as being

The six numbers that reappear consistently in the TV Show Lost

So the four-letter word must be

Lost

Title

"Off the beaten track" means in an isolated place. In the TV show Lost, the characters are trapped on a mysterious remote island when their plane crashes.

Connections

Group 1
Words that contain the sound FOUR - Before, Guffaw, Metaphor, Semaphore

Group 2
Words that form movie titles when combined with the number EIGHT - Eight Below, 8 Mile, 8MM, Super 8

Group 3
Words that mean FIFTEEN - F (hexadecimal), Quince (Spanish), XV (Roman numerals), Commodore (Cockney rhyming slang) (credit to BeastlyGerbil for spotting this in the comments)

Group 4
Things that composed of SIXTEEN parts - Myers-Briggs (16 categories), Snes (16-bit), Pound (16 ounces), Pool (16 balls)

Group 5
Words which are TWENTY-THREE in an ordering - Harrison (23rd U.S. President), Isaiah (23rd book of the Bible), V (23rd chemical symbol of the periodic table), Whiskey (23rd letter of the Nato Phonetic alphabet),

Group 6
Words associated with the number FORTY-TWO - Asterisk (decimal code), Czechoslovakia (calling code), Loire (France department number), Robinson (famous for wearing number 42)

So the categories are

4, 8, 15, 16, 23, 42

And we recognise these as being

The six numbers that reappear consistently in the TV Show Lost

So the four-letter word must be

Lost

Title

"Off the beaten track" means in an isolated place. In the TV show Lost, the characters are trapped on a mysterious remote island when their plane crashes.

Some of these were tough to get and there's one I'm still unsure about but I think I've gotten it essentially.

Connections

Group 1
Words that rhyme with FOUR - Before, Commodore, Metaphor, Semaphore

Group 2
Words that form movie titles when combined with the number EIGHT - Eight Below, 8 Mile, 8MM, Super 8

Group 3
Words that mean FIFTEEN - F (hexadecimal), Quince (Spanish), XV (Roman numerals), Guffaw (don't know why)

Group 4
Things that composed of SIXTEEN parts - Myers-Briggs (16 categories), Snes (16-bit), Pound (16 ounces), Pool (16 balls)

Group 5
Words which are TWENTY-THREE in an ordering - Harrison (23rd President), Isaiah (23rd book of the Bible), V (23rd element of the periodic table), Whiskey (23rd letter of the Nato Phonetic alphabet),

Group 6
Words associated with the number FORTY-TWO - Asterisk (decimal code), Czechoslovakia (calling code), Loire (France department number), Robinson (famous for wearing number 42)

So the categories are

4, 8, 15, 16, 23, 42

And we recognise these as being

The six numbers that reappear consistently in the TV Show LOST

So the four-letter word must be

Lost

Connections

Group 1
Words that contain the sound FOUR - Before, Guffaw, Metaphor, Semaphore

Group 2
Words that form movie titles when combined with the number EIGHT - Eight Below, 8 Mile, 8MM, Super 8

Group 3
Words that mean FIFTEEN - F (hexadecimal), Quince (Spanish), XV (Roman numerals), Commodore (Cockney rhyming slang) (credit to BeastlyGerbil for spotting this in the comments)

Group 4
Things that composed of SIXTEEN parts - Myers-Briggs (16 categories), Snes (16-bit), Pound (16 ounces), Pool (16 balls)

Group 5
Words which are TWENTY-THREE in an ordering - Harrison (23rd President), Isaiah (23rd book of the Bible), V (23rd element of the periodic table), Whiskey (23rd letter of the Nato Phonetic alphabet),

Group 6
Words associated with the number FORTY-TWO - Asterisk (decimal code), Czechoslovakia (calling code), Loire (France department number), Robinson (famous for wearing number 42)

So the categories are

4, 8, 15, 16, 23, 42

And we recognise these as being

The six numbers that reappear consistently in the TV Show Lost

So the four-letter word must be

Lost

Title

"Off the beaten track" means in an isolated place. In the TV show Lost, the characters are trapped on a mysterious remote island when their plane crashes.