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Parity	Cyclic	Solvable	Primitive	Equivalent siblings

Degree	$T$-number	Order	Group	Nilpotency class

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Results (4 matches)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
24T13068	$C_2^8.\GL(2,\mathbb{Z}/4)$	$24576$	$1$	✓	$-1$	$180$	$S_3$, $S_4\times C_2$, $\GL(2,\mathbb{Z}/4)$	24T13068 x 7, 24T13193 x 8, 24T13667 x 8, 24T13860 x 8
24T13193	$C_2^8.\GL(2,\mathbb{Z}/4)$	$24576$	$-1$	✓	$-1$	$180$	$S_3$, $S_4$, $S_4\times C_2$ x 2, $C_2^3:S_4$	24T13068 x 8, 24T13193 x 7, 24T13667 x 8, 24T13860 x 8
24T13667	$C_2^8.\GL(2,\mathbb{Z}/4)$	$24576$	$1$	✓	$-1$	$180$	$S_3$, $S_4$, $C_2^3.S_4$	24T13068 x 8, 24T13193 x 8, 24T13667 x 7, 24T13860 x 8
24T13860	$C_2^8.\GL(2,\mathbb{Z}/4)$	$24576$	$1$	✓	$-1$	$180$	$S_3$, $S_4\times C_2$, $C_2\wr S_3$	24T13068 x 8, 24T13193 x 8, 24T13667 x 8, 24T13860 x 7

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Results are complete for degrees $\leq 23$.