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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
16T74	$C_4^2:C_4$	$64$	$1$	✓	$2$	$22$	$C_2$, $C_4$, $D_{4}$ x 2, $C_2^2:C_4$	16T74 x 3, 16T123, 32T64 x 2, 32T131
16T123	$C_4^2:C_4$	$64$	$1$	✓	$2$	$22$	$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4$	16T74 x 4, 32T64 x 2, 32T131
32T64	$C_4^2:C_4$	$64$	$1$	✓	$2$	$22$	$C_2$ x 3, $C_4$ x 2, $C_2^2$, $D_{4}$ x 4, $C_4\times C_2$, $D_4$ x 2, $C_2^2:C_4$ x 2, $C_2^2 : C_4$, $C_4^2:C_4$ x 2, $C_4^2:C_4$	16T74 x 4, 16T123, 32T64, 32T131
32T131	$C_4^2:C_4$	$64$	$1$	✓	$2$	$22$	$C_2$ x 3, $C_4$ x 2, $C_2^2$, $D_{4}$ x 2, $C_4\times C_2$, $D_4$, $Q_8$, $C_4:C_4$, $C_4^2:C_4$	16T74 x 4, 16T123, 32T64 x 2

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Results are complete for degrees $\leq 23$.