Galois group search results

Results (displaying both matches)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
16T1093	$(C_2\times D_4^2):D_4$	$1024$	$1$	✓	$4$	$100$	$C_2$, $D_{4}$ x 3, $C_2^2 \wr C_2$	16T1093 x 31, 16T1098 x 16, 32T35351 x 32, 32T35352 x 32, 32T35353 x 32, 32T35354 x 32, 32T35355 x 32, 32T35356 x 32, 32T35357 x 32, 32T35358 x 16, 32T35359 x 32, 32T35360 x 32, 32T35361 x 16, 32T35362 x 32, 32T35363 x 32, 32T35364 x 16, 32T35365 x 16, 32T35366 x 32, 32T35367 x 32, 32T35368 x 16, 32T35369 x 16, 32T35396 x 32, 32T35397 x 16, 32T35398 x 16, 32T35399 x 16, 32T35400 x 32, 32T35401 x 8, 32T35402 x 32, 32T35403 x 8, 32T35404 x 8, 32T35405 x 8, 32T35406 x 8, 32T35407 x 32, 32T35408 x 8, 32T35409 x 8, 32T51222 x 16
16T1098	$(C_2\times D_4^2):D_4$	$1024$	$1$	✓	$4$	$100$	$C_2$ x 3, $C_2^2$, $D_{4}$ x 2, $D_4\times C_2$	16T1093 x 32, 16T1098 x 15, 32T35351 x 32, 32T35352 x 32, 32T35353 x 32, 32T35354 x 32, 32T35355 x 32, 32T35356 x 32, 32T35357 x 32, 32T35358 x 16, 32T35359 x 32, 32T35360 x 32, 32T35361 x 16, 32T35362 x 32, 32T35363 x 32, 32T35364 x 16, 32T35365 x 16, 32T35366 x 32, 32T35367 x 32, 32T35368 x 16, 32T35369 x 16, 32T35396 x 32, 32T35397 x 16, 32T35398 x 16, 32T35399 x 16, 32T35400 x 32, 32T35401 x 8, 32T35402 x 32, 32T35403 x 8, 32T35404 x 8, 32T35405 x 8, 32T35406 x 8, 32T35407 x 32, 32T35408 x 8, 32T35409 x 8, 32T51222 x 16

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Results are complete for degrees $\leq 23$.