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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
16T82	$C_4^2:C_2^2$	$64$	$1$	✓	$2$	$22$	$C_2$ x 3, $C_2^2$, $Q_8:C_2$, $Q_8:C_2^2$ x 2	16T82 x 3, 32T77 x 2, 32T78 x 2, 32T234 x 2
32T77	$C_4^2:C_2^2$	$64$	$1$	✓	$2$	$22$	$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2$ x 2, $Q_8:C_2^2$ x 4, $C_2 \times (C_4\times C_2):C_2$, $Q_8 : C_2^2$ x 2, $C_4^2:C_2^2$ x 4	16T82 x 4, 32T77, 32T78 x 2, 32T234 x 2
32T78	$C_4^2:C_2^2$	$64$	$1$	✓	$2$	$22$	$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2$ x 3, $Q_8:C_2^2$ x 4, $Q_8 : C_2$, $Q_8 : C_2^2$ x 2, $C_4^2:C_2^2$ x 2	16T82 x 4, 32T77 x 2, 32T78, 32T234 x 2
32T234	$C_4^2:C_2^2$	$64$	$1$	✓	$2$	$22$	$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $Q_8:C_2$ x 2, $Q_8:C_2^2$ x 4, $C_2 \times (C_4\times C_2):C_2$, $Q_8 : C_2^2$ x 2	16T82 x 4, 32T77 x 2, 32T78 x 2, 32T234

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Results are complete for degrees $\leq 23$.