Galois group search results

Results (5 matches)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
40T11751	$C_2^6.C_2\wr D_5$	$20480$	$1$	✓	$-1$	$176$	$C_2$, $D_{5}$, $D_{10}$, $(C_2^4 : C_5) : C_2$, $C_2\times (C_2^4 : D_5)$, $C_2\wr D_5$, $(C_2\times C_4^4).D_{10}$ x 2	40T11751 x 47, 40T12820 x 48, 40T13578 x 192, 40T13835 x 48, 40T13960 x 48
40T12820	$C_2^6.C_2\wr D_5$	$20480$	$1$	✓	$-1$	$176$	$D_{5}$, $(C_2^4 : C_5) : C_2$, $C_2\times (C_2^4 : D_5)$ x 2, $C_2\wr D_5$, $(C_2\times C_4^4).D_{10}$ x 2	40T11751 x 48, 40T12820 x 47, 40T13578 x 192, 40T13835 x 48, 40T13960 x 48
40T13578	$C_2^6.C_2\wr D_5$	$20480$	$1$	✓	$-1$	$176$	$D_{5}$, $C_2\times (C_2^4 : D_5)$, $C_2^6:D_5$, $(C_2\times C_4^4).D_{10}$, $C_2\times C_4^4.D_{10}$	40T11751 x 48, 40T12820 x 48, 40T13578 x 191, 40T13835 x 48, 40T13960 x 48
40T13835	$C_2^6.C_2\wr D_5$	$20480$	$1$	✓	$-1$	$176$	$C_2$, $D_{5}$, $D_{10}$, $C_2\times (C_2^4 : D_5)$ x 2, $C_2^5:D_{10}$, $(C_2\times C_4^4).D_{10}$ x 2	40T11751 x 48, 40T12820 x 48, 40T13578 x 192, 40T13835 x 47, 40T13960 x 48
40T13960	$C_2^6.C_2\wr D_5$	$20480$	$1$	✓	$-1$	$176$	$D_{5}$, $C_2\times (C_2^4 : D_5)$ x 3, $C_2^5:D_{10}$, $(C_2\times C_4^4).D_{10}$ x 2	40T11751 x 48, 40T12820 x 48, 40T13578 x 192, 40T13835 x 48, 40T13960 x 47

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Results are complete for degrees $\leq 23$.