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Parity	Cyclic	Solvable	Primitive	Equivalent siblings

Degree	$T$-number	Order	Group	Nilpotency class

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Results (8 matches)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
15T58	$D_5^3.S_3$	$6000$	$1$	✓	$-1$	$28$	$S_3$	20T360, 30T591, 30T604, 30T607, 30T616, 30T624, 40T5196
20T360	$D_5^3.S_3$	$6000$	$-1$	✓	$-1$	$28$	$S_4$	15T58, 30T591, 30T604, 30T607, 30T616, 30T624, 40T5196
30T591	$D_5^3.S_3$	$6000$	$-1$	✓	$-1$	$28$	$S_3$, $S_4$	15T58, 20T360, 30T604, 30T607, 30T616, 30T624, 40T5196
30T604	$D_5^3.S_3$	$6000$	$-1$	✓	$-1$	$28$	$C_2$, $S_3$, $S_3$, $D_5^3.S_3$	15T58, 20T360, 30T591, 30T607, 30T616, 30T624, 40T5196
30T607	$D_5^3.S_3$	$6000$	$1$	✓	$-1$	$28$	$S_3$, $S_4$	15T58, 20T360, 30T591, 30T604, 30T616, 30T624, 40T5196
30T616	$D_5^3.S_3$	$6000$	$1$	✓	$-1$	$28$	$S_3$, $S_4$, $D_5^3.S_3$	15T58, 20T360, 30T591, 30T604, 30T607, 30T624, 40T5196
30T624	$D_5^3.S_3$	$6000$	$-1$	✓	$-1$	$28$	$S_3$, $S_4$, $D_5^3.S_3$	15T58, 20T360, 30T591, 30T604, 30T607, 30T616, 40T5196
40T5196	$D_5^3.S_3$	$6000$	$1$	✓	$-1$	$28$	$C_2$, $S_4$, $S_4$, $D_5^3.S_3$	15T58, 20T360, 30T591, 30T604, 30T607, 30T616, 30T624

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Results are complete for degrees $\leq 23$.