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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
24T20601	$A_4^2.S_4\wr C_2.C_4$	$663552$	$1$	✓	$-1$	$176$	$C_2$ x 3, $C_2^2$, $C_3^4:D_4:C_2$	24T20601, 24T20609 x 2, 32T2439270 x 2, 32T2439273 x 2, 36T33426 x 4, 36T33434 x 4
24T20609	$A_4^2.S_4\wr C_2.C_4$	$663552$	$1$	✓	$-1$	$176$	$C_2$ x 3, $C_2^2$, $C_3^4:D_4:C_2$	24T20601 x 2, 24T20609, 32T2439270 x 2, 32T2439273 x 2, 36T33426 x 4, 36T33434 x 4
36T33426	$A_4^2.S_4\wr C_2.C_4$	$663552$	$-1$	✓	$-1$	$176$	$C_2$, $C_3^4:D_4:C_2$	24T20601 x 2, 24T20609 x 2, 32T2439270 x 2, 32T2439273 x 2, 36T33426 x 3, 36T33434 x 4
36T33434	$A_4^2.S_4\wr C_2.C_4$	$663552$	$-1$	✓	$-1$	$176$	$C_2$, $C_3^4:D_4:C_2$	24T20601 x 2, 24T20609 x 2, 32T2439270 x 2, 32T2439273 x 2, 36T33426 x 4, 36T33434 x 3

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Results are complete for degrees $\leq 23$.