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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
24T7380	$C_2^6:\SOPlus(4,2)$	$4608$	$1$	✓	$-1$	$56$	$C_2$ x 3, $C_2^2$, $C_3^2:D_4$, $\SOPlus(4,2)$	24T7380, 24T7392 x 2, 32T396934 x 2, 32T397011 x 2, 36T5192 x 4, 36T5269 x 4
24T7392	$C_2^6:\SOPlus(4,2)$	$4608$	$1$	✓	$-1$	$56$	$C_2$ x 3, $C_2^2$, $C_3^2:D_4$, $S_3^2:C_2^2$	24T7380 x 2, 24T7392, 32T396934 x 2, 32T397011 x 2, 36T5192 x 4, 36T5269 x 4
36T5192	$C_2^6:\SOPlus(4,2)$	$4608$	$-1$	✓	$-1$	$56$	$C_2$, $C_3^2:D_4$, $S_3^2:C_2$, $\SOPlus(4,2)$	24T7380 x 2, 24T7392 x 2, 32T396934 x 2, 32T397011 x 2, 36T5192 x 3, 36T5269 x 4
36T5269	$C_2^6:\SOPlus(4,2)$	$4608$	$-1$	✓	$-1$	$56$	$C_2$, $S_3^2:C_2$, $S_3^2:C_2^2$	24T7380 x 2, 24T7392 x 2, 32T396934 x 2, 32T397011 x 2, 36T5192 x 4, 36T5269 x 3

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Results are complete for degrees $\leq 23$.