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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
32T5588	$(C_2^2\times C_8):C_2^3$	$256$	$1$	✓	$3$	$46$	$C_2$, $D_{4}$ x 7, $C_2^2 \wr C_2$ x 7, $C_2^3\wr C_2$	32T5588 x 7, 32T7873, 32T8375 x 6
32T7873	$(C_2^2\times C_8):C_2^3$	$256$	$1$	✓	$3$	$46$	$C_2$ x 7, $C_2^2$ x 7, $D_{4}$ x 4, $C_2^3$, $D_4\times C_2$ x 6, $C_2^2 \times D_4$	32T5588 x 8, 32T8375 x 6
32T8375	$(C_2^2\times C_8):C_2^3$	$256$	$1$	✓	$3$	$46$	$C_2$ x 3, $C_2^2$, $D_{4}$ x 6, $D_4$, $D_4\times C_2$ x 2, $C_2^2 \wr C_2$ x 4, $C_2^2\wr C_2$	32T5588 x 8, 32T7873, 32T8375 x 5

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Results are complete for degrees $\leq 23$.