Galois group search results

Results (4 matches)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
16T794	$C_2^6:C_2^3$	$512$	$1$	✓	$3$	$68$	$C_2$ x 7, $C_2^2$ x 7, $C_2^3$	16T794 x 3, 16T804 x 12, 16T808 x 8, 16T809 x 16, 32T9708 x 6, 32T9709 x 12, 32T9710 x 24, 32T9711 x 6, 32T9712 x 16, 32T9713 x 12, 32T9786 x 24, 32T9787 x 24, 32T9788 x 6, 32T9789 x 12, 32T9790 x 12, 32T9791 x 6, 32T9792 x 12, 32T9811 x 12, 32T9812 x 24, 32T9813 x 12, 32T9814 x 24, 32T9815 x 24, 32T20119 x 12
16T804	$C_2^6:C_2^3$	$512$	$1$	✓	$3$	$68$	$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$	16T794 x 4, 16T804 x 11, 16T808 x 8, 16T809 x 16, 32T9708 x 6, 32T9709 x 12, 32T9710 x 24, 32T9711 x 6, 32T9712 x 16, 32T9713 x 12, 32T9786 x 24, 32T9787 x 24, 32T9788 x 6, 32T9789 x 12, 32T9790 x 12, 32T9791 x 6, 32T9792 x 12, 32T9811 x 12, 32T9812 x 24, 32T9813 x 12, 32T9814 x 24, 32T9815 x 24, 32T20119 x 12
16T808	$C_2^6:C_2^3$	$512$	$1$	✓	$3$	$68$	$C_2$, $D_{4}$ x 3, $C_2^2 \wr C_2$	16T794 x 4, 16T804 x 12, 16T808 x 7, 16T809 x 16, 32T9708 x 6, 32T9709 x 12, 32T9710 x 24, 32T9711 x 6, 32T9712 x 16, 32T9713 x 12, 32T9786 x 24, 32T9787 x 24, 32T9788 x 6, 32T9789 x 12, 32T9790 x 12, 32T9791 x 6, 32T9792 x 12, 32T9811 x 12, 32T9812 x 24, 32T9813 x 12, 32T9814 x 24, 32T9815 x 24, 32T20119 x 12
16T809	$C_2^6:C_2^3$	$512$	$1$	✓	$3$	$68$	$C_2$ x 3, $C_2^2$, $Q_8:C_2^2$	16T794 x 4, 16T804 x 12, 16T808 x 8, 16T809 x 15, 32T9708 x 6, 32T9709 x 12, 32T9710 x 24, 32T9711 x 6, 32T9712 x 16, 32T9713 x 12, 32T9786 x 24, 32T9787 x 24, 32T9788 x 6, 32T9789 x 12, 32T9790 x 12, 32T9791 x 6, 32T9792 x 12, 32T9811 x 12, 32T9812 x 24, 32T9813 x 12, 32T9814 x 24, 32T9815 x 24, 32T20119 x 12

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Results are complete for degrees $\leq 23$.