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Parity	Cyclic	Solvable	Primitive	Equivalent siblings

Degree	$T$-number	Order	Group	Nilpotency class

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Results (3 matches)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
18T188	$C_6\wr C_3$	$648$	$-1$	✓	$-1$	$88$	$C_3$, $A_4\times C_2$, $C_3 \wr C_3 $	18T188 x 8, 36T968 x 9, 36T1028 x 9
36T968	$C_6\wr C_3$	$648$	$1$	✓	$-1$	$88$	$C_2$, $C_3$, $C_6$, $A_4$, $A_4\times C_2$, $C_3 \wr C_3 $, $A_4 \times C_2$, $C_3^3:C_6$, $C_3^3:A_4$, $C_6\wr C_3$	18T188 x 9, 36T968 x 8, 36T1028 x 9
36T1028	$C_6\wr C_3$	$648$	$1$	✓	$-1$	$88$	$C_3$, $A_4$, $A_4\times C_2$, $C_3 \wr C_3 $, $A_4\times C_2$, $C_3^3:A_4$, $C_6\wr C_3$ x 2	18T188 x 9, 36T968 x 9, 36T1028 x 8

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Results are complete for degrees $\leq 23$.