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Parity	Cyclic	Solvable	Primitive	Equivalent siblings

Degree	$T$-number	Order	Group	Nilpotency class

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Results (4 matches)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
45T296	$\He_3:S_5$	$3240$	$-1$		$-1$	$41$	$S_3$, $S_5$, $C_3^2 : C_6$, $\GL(2,4):C_2$	45T297 x 2, 45T307, 45T308 x 2
45T297	$\He_3:S_5$	$3240$	$-1$		$-1$	$41$	$S_3$, $S_5$, $\GL(2,4):C_2$	45T296, 45T297, 45T307, 45T308 x 2
45T307	$\He_3:S_5$	$3240$	$1$		$-1$	$41$	$C_3$, $S_5$, $C_3^2 : S_3 $, $S_5 \times C_3$	45T296, 45T297 x 2, 45T308 x 2
45T308	$\He_3:S_5$	$3240$	$1$		$-1$	$41$	$C_3$, $S_5$, $S_5 \times C_3$	45T296, 45T297 x 2, 45T307, 45T308

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Results are complete for degrees $\leq 23$.