Galois group search results

The results below are complete, since the LMFDB contains all transitive groups of degree at most 47 (except 32)

Results (7 matches)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
5T4	$A_5$	$60$	$1$		$-1$	$5$		6T12, 10T7, 12T33, 15T5, 20T15, 30T9
6T12	$\PSL(2,5)$	$60$	$1$		$-1$	$5$		5T4, 10T7, 12T33, 15T5, 20T15, 30T9
10T7	$A_{5}$	$60$	$1$		$-1$	$5$		5T4, 6T12, 12T33, 15T5, 20T15, 30T9
12T33	$A_5$	$60$	$1$		$-1$	$5$	$\PSL(2,5)$	5T4, 6T12, 10T7, 15T5, 20T15, 30T9
15T5	$A_5$	$60$	$1$		$-1$	$5$	$A_5$	5T4, 6T12, 10T7, 12T33, 20T15, 30T9
20T15	$A_5$	$60$	$1$		$-1$	$5$	$A_5$, $A_{5}$	5T4, 6T12, 10T7, 12T33, 15T5, 30T9
30T9	$A_5$	$60$	$1$		$-1$	$5$	$A_5$, $\PSL(2,5)$, $A_{5}$, $A_5$	5T4, 6T12, 10T7, 12T33, 15T5, 20T15

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Results are complete for degrees $\leq 23$.