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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
23T1	$C_{23}$	$23$	$1$	✓	$1$	$23$
23T2	$D_{23}$	$46$	$-1$	✓	$-1$	$13$		46T2
23T3	$C_{23}:C_{11}$	$253$	$1$	✓	$-1$	$13$
23T4	$F_{23}$	$506$	$-1$	✓	$-1$	$23$		46T5
23T5	$M_{23}$	$10200960$	$1$		$-1$	$17$
23T6	$A_{23}$	$12926008369442488320000$	$1$		$-1$	$641$
23T7	$S_{23}$	$25852016738884976640000$	$-1$		$-1$	$1255$		46T44

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Results are complete for degrees $\leq 23$.