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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
24T22691	$C_2^8.S_3^4:(C_2\times C_4)$	$2654208$	$1$	✓	$-1$	$296$	$C_2$, $D_{4}$, $S_3\wr C_2^2$	24T22691 x 3, 24T22692 x 4, 32T2658465 x 4, 32T2658474 x 4, 36T46723 x 4, 36T46726 x 4
24T22692	$C_2^8.S_3^4:(C_2\times C_4)$	$2654208$	$1$	✓	$-1$	$296$	$C_2$, $D_{4}$, $S_3\wr C_2^2$	24T22691 x 4, 24T22692 x 3, 32T2658465 x 4, 32T2658474 x 4, 36T46723 x 4, 36T46726 x 4
36T46723	$C_2^8.S_3^4:(C_2\times C_4)$	$2654208$	$-1$	✓	$-1$	$296$	$C_2$, $S_3\wr C_2^2$	24T22691 x 4, 24T22692 x 4, 32T2658465 x 4, 32T2658474 x 4, 36T46723 x 3, 36T46726 x 4
36T46726	$C_2^8.S_3^4:(C_2\times C_4)$	$2654208$	$-1$	✓	$-1$	$296$	$C_2$, $S_3\wr C_2^2$	24T22691 x 4, 24T22692 x 4, 32T2658465 x 4, 32T2658474 x 4, 36T46723 x 4, 36T46726 x 3

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Results are complete for degrees $\leq 23$.