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Parity	Cyclic	Solvable	Primitive	Equivalent siblings

Degree	$T$-number	Order	Group	Nilpotency class

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Results (3 matches)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
36T116232	$C_3^{12}.C_2^6.C_4^2.A_4.(C_2\times D_4)$	$104485552128$	$-1$	✓	$-1$	$4348$	$S_3$, $S_4\times C_2$ x 3, $C_2^2\wr S_3$	36T116338, 36T116542 x 2
36T116338	$C_3^{12}.C_2^6.C_4^2.A_4.(C_2\times D_4)$	$104485552128$	$-1$	✓	$-1$	$4348$	$S_3$, $S_4\times C_2$, $C_2^2.\GL(2,\mathbb{Z}/4)$	36T116232, 36T116542 x 2
36T116542	$C_3^{12}.C_2^6.C_4^2.A_4.(C_2\times D_4)$	$104485552128$	$-1$	✓	$-1$	$4348$	$S_3$, $S_4\times C_2$, $C_2\wr S_4$	36T116232, 36T116338, 36T116542

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Results are complete for degrees $\leq 23$.