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Parity	Cyclic	Solvable	Primitive	Equivalent siblings

Degree	$T$-number	Order	Group	Nilpotency class

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Results (6 matches)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
21T46	$C_7^3:S_4$	$8232$	$-1$	✓	$-1$	$70$	$S_3$	28T347, 42T538, 42T539, 42T540, 42T548
28T347	$C_7^3:S_4$	$8232$	$-1$	✓	$-1$	$70$	$S_4$	21T46, 42T538, 42T539, 42T540, 42T548
42T538	$C_7^3:S_4$	$8232$	$-1$	✓	$-1$	$70$	$C_2$, $S_3$, $S_3$, $C_7^3:S_4$	21T46, 28T347, 42T539, 42T540, 42T548
42T539	$C_7^3:S_4$	$8232$	$-1$	✓	$-1$	$70$	$S_3$, $S_4$, $C_7^3:S_4$	21T46, 28T347, 42T538, 42T540, 42T548
42T540	$C_7^3:S_4$	$8232$	$1$	✓	$-1$	$70$	$S_3$, $S_4$, $C_7^3:S_4$	21T46, 28T347, 42T538, 42T539, 42T548
42T548	$C_7^3:S_4$	$8232$	$-1$	✓	$-1$	$70$	$S_3$, $S_4$	21T46, 28T347, 42T538, 42T539, 42T540

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Results are complete for degrees $\leq 23$.