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Parity	Cyclic	Solvable	Primitive	Equivalent siblings

Degree	$T$-number	Order	Group	Nilpotency class

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Results (5 matches)

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Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
20T154	$D_5^2.C_2^3$	$800$	$1$	✓	$-1$	$32$	$C_2$ x 3, $C_2^2$, $(D_5 \wr C_2):C_2$	20T154 x 11, 40T693 x 6, 40T722 x 6, 40T736 x 6, 40T757 x 6
40T693	$D_5^2.C_2^3$	$800$	$1$	✓	$-1$	$32$	$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $(D_5 \wr C_2):C_2$, $D_5^2.C_2^2$, $D_5^2.C_2^3$ x 2	20T154 x 12, 40T693 x 5, 40T722 x 6, 40T736 x 6, 40T757 x 6
40T722	$D_5^2.C_2^3$	$800$	$1$	✓	$-1$	$32$	$C_2$ x 3, $C_2^2$, $Q_8:C_2$, $(D_5 \wr C_2):C_2$, $D_5^2.C_2^2$	20T154 x 12, 40T693 x 6, 40T722 x 5, 40T736 x 6, 40T757 x 6
40T736	$D_5^2.C_2^3$	$800$	$1$	✓	$-1$	$32$	$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $(D_5 \wr C_2):C_2$, $D_5^2.C_2^2$, $D_5^2.C_2^3$ x 2	20T154 x 12, 40T693 x 6, 40T722 x 6, 40T736 x 5, 40T757 x 6
40T757	$D_5^2.C_2^3$	$800$	$1$	✓	$-1$	$32$	$C_2$ x 7, $C_2^2$ x 7, $C_2^3$, $(D_5 \wr C_2):C_2$, $D_5^2.C_2^2$, $D_5^2.C_2^3$ x 2	20T154 x 12, 40T693 x 6, 40T722 x 6, 40T736 x 6, 40T757 x 5

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Results are complete for degrees $\leq 23$.