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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
18T191	$C_3.S_3^3$	$648$	$-1$	✓	$-1$	$33$	$C_2$, $S_3$, $D_{6}$	18T191, 27T218 x 2, 36T1084 x 2, 36T1085 x 2, 36T1086 x 2, 36T1192
27T218	$C_3.S_3^3$	$648$	$-1$	✓	$-1$	$33$	$S_3$ x 2, $S_3^2$, $C_3^2 : D_{6} $	18T191 x 2, 27T218, 36T1084 x 2, 36T1085 x 2, 36T1086 x 2, 36T1192
36T1084	$C_3.S_3^3$	$648$	$1$	✓	$-1$	$33$	$C_2$ x 3, $S_3$, $C_2^2$, $S_3$, $D_{6}$ x 2, $D_6$, $C_3.S_3^3$	18T191 x 2, 27T218 x 2, 36T1084, 36T1085 x 2, 36T1086 x 2, 36T1192
36T1085	$C_3.S_3^3$	$648$	$1$	✓	$-1$	$33$	$C_2$ x 3, $S_3$, $C_2^2$, $D_{6}$ x 3, $S_3 \times C_2^2$, $C_3.S_3^3$	18T191 x 2, 27T218 x 2, 36T1084 x 2, 36T1085, 36T1086 x 2, 36T1192
36T1086	$C_3.S_3^3$	$648$	$1$	✓	$-1$	$33$	$C_2$ x 3, $S_3$, $C_2^2$, $D_{6}$ x 3, $S_3 \times C_2^2$, $C_3.S_3^3$	18T191 x 2, 27T218 x 2, 36T1084 x 2, 36T1085 x 2, 36T1086, 36T1192
36T1192	$C_3.S_3^3$	$648$	$1$	✓	$-1$	$33$	$C_2$ x 3, $C_2^2$, $S_3^2$, $S_3\times D_6$	18T191 x 2, 27T218 x 2, 36T1084 x 2, 36T1085 x 2, 36T1086 x 2

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Results are complete for degrees $\leq 23$.