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Parity	Cyclic	Solvable	Primitive	Equivalent siblings

Degree	$T$-number	Order	Group	Nilpotency class

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Results (7 matches)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
15T24	$S_5 \times C_3$	$360$	$-1$		$-1$	$21$	$C_3$, $S_5$	18T144, 30T90, 30T98, 30T103, 36T550, 45T44
18T144	$C_3\times S_5$	$360$	$-1$		$-1$	$21$	$C_3$, $\PGL(2,5)$	15T24, 30T90, 30T98, 30T103, 36T550, 45T44
30T90	$C_3\times S_5$	$360$	$-1$		$-1$	$21$	$C_2$, $S_5$, $S_5$	15T24, 18T144, 30T98, 30T103, 36T550, 45T44
30T98	$C_3\times S_5$	$360$	$-1$		$-1$	$21$	$C_3$, $S_5$	15T24, 18T144, 30T90, 30T103, 36T550, 45T44
30T103	$C_3\times S_5$	$360$	$-1$		$-1$	$21$	$C_2$, $C_3$, $S_5$, $C_6$, $S_5$, $S_5 \times C_3$	15T24, 18T144, 30T90, 30T98, 36T550, 45T44
36T550	$C_3\times S_5$	$360$	$1$		$-1$	$21$	$C_2$, $C_3$, $C_6$, $\PGL(2,5)$, $S_5$, $C_3\times S_5$	15T24, 18T144, 30T90, 30T98, 30T103, 45T44
45T44	$C_3\times S_5$	$360$	$1$		$-1$	$21$	$C_3$, $S_5$, $S_5$, $S_5 \times C_3$	15T24, 18T144, 30T90, 30T98, 30T103, 36T550

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Results are complete for degrees $\leq 23$.