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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
36T3592	$S_3\times C_6^2:D_6$	$2592$	$1$	✓	$-1$	$60$	$C_2$, $S_3$, $D_{6}$, $S_4$, $S_4\times C_2$, $C_2 \times S_4$, $C_3.S_3^3$	36T3593, 36T3594, 36T3595
36T3593	$S_3\times C_6^2:D_6$	$2592$	$1$	✓	$-1$	$60$	$C_2$, $S_3$, $D_{6}$, $S_4$, $S_4\times C_2$, $C_2 \times S_4$, $C_3.S_3^3$	36T3592, 36T3594, 36T3595
36T3594	$S_3\times C_6^2:D_6$	$2592$	$1$	✓	$-1$	$60$	$C_2$, $S_3$, $D_{6}$, $S_4\times C_2$ x 2, $C_2^2\times S_4$, $C_3.S_3^3$	36T3592, 36T3593, 36T3595
36T3595	$S_3\times C_6^2:D_6$	$2592$	$1$	✓	$-1$	$60$	$C_2$, $S_3$, $D_{6}$, $S_4\times C_2$ x 2, $C_2^2\times S_4$, $C_3.S_3^3$	36T3592, 36T3593, 36T3594

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Results are complete for degrees $\leq 23$.