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Parity	Cyclic	Solvable	Primitive	Equivalent siblings

Degree	$T$-number	Order	Group	Nilpotency class

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Results (3 matches)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
24T20565	$A_4^2.S_4\wr C_2.C_4$	$663552$	$1$	✓	$-1$	$212$	$C_2$ x 3, $C_2^2$, $C_3^4:(C_2\times D_4)$	24T20565, 24T20567 x 2, 32T2439297 x 2, 32T2439310 x 2, 36T33441 x 4
24T20567	$A_4^2.S_4\wr C_2.C_4$	$663552$	$1$	✓	$-1$	$212$	$C_2$ x 3, $C_2^2$, $C_3^4:(C_2\times D_4)$	24T20565 x 2, 24T20567, 32T2439297 x 2, 32T2439310 x 2, 36T33441 x 4
36T33441	$A_4^2.S_4\wr C_2.C_4$	$663552$	$-1$	✓	$-1$	$212$	$C_2$, $C_3^4:(C_2\times D_4)$	24T20565 x 2, 24T20567 x 2, 32T2439297 x 2, 32T2439310 x 2, 36T33441 x 3

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Results are complete for degrees $\leq 23$.