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Note: Search results may be incomplete due to uncomputed quantities: Subgroup label (103813812 objects)

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Subgroup label Subgroup order Cyclic Abelian Solvable
Normal Characteristic Perfect Maximal Central
Ambient label Ambient order Direct product Semidirect product
Quotient label Subgroup index Cyclic quotient Abelian quotient Solvable quotient
Maximal quotient Non-trivial proper Hall subgroup Sylow subgroup
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Results (1-50 of 125 matches)

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Label Subgroup Ambient Quotient
Name Order Sylow norm char max cent ab Name Order Name Size max ab
512.1897.1.a1.a1 $C_2^5.\SD_{16}$ $2^{9}$ $2$ ✓ ✓ $C_2^5.\SD_{16}$ $2^{9}$ $C_1$ $1$ ✓
4096.bvc.8._.CB $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^6.C_2\wr C_2^2$ $2^{12}$ $C_2^3$ $2^{3}$ ✓
4096.bvc.8._.CD $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^6.C_2\wr C_2^2$ $2^{12}$ $C_2^3$ $2^{3}$ ✓
4096.bvc.8._.DH $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^6.C_2\wr C_2^2$ $2^{12}$ $C_2^3$ $2^{3}$ ✓
4096.bvc.8._.DJ $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^6.C_2\wr C_2^2$ $2^{12}$ $C_2^3$ $2^{3}$ ✓
4096.bvc.8._.FL $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^6.C_2\wr C_2^2$ $2^{12}$ $C_2^3$ $2^{3}$ ✓
4096.bvc.8._.FN $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^6.C_2\wr C_2^2$ $2^{12}$ $C_2^3$ $2^{3}$ ✓
4096.bvc.8._.FT $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^6.C_2\wr C_2^2$ $2^{12}$ $C_2^3$ $2^{3}$ ✓
4096.bvc.8._.FV $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^6.C_2\wr C_2^2$ $2^{12}$ $C_2^3$ $2^{3}$ ✓
4096.bvc.8._.GL $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^6.C_2\wr C_2^2$ $2^{12}$ $C_2^3$ $2^{3}$ ✓
4096.bvc.8._.GM $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^6.C_2\wr C_2^2$ $2^{12}$ $C_2^3$ $2^{3}$ ✓
4096.bvc.8._.GR $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^6.C_2\wr C_2^2$ $2^{12}$ $C_2^3$ $2^{3}$ ✓
4096.bvc.8._.GS $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^6.C_2\wr C_2^2$ $2^{12}$ $C_2^3$ $2^{3}$ ✓
4096.bvd.8._.CV $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^6.C_2\wr C_2^2$ $2^{12}$ $C_2^3$ $2^{3}$ ✓
4096.bvd.8._.CY $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^6.C_2\wr C_2^2$ $2^{12}$ $C_2^3$ $2^{3}$ ✓
4096.bvd.8._.DH $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^6.C_2\wr C_2^2$ $2^{12}$ $C_2^3$ $2^{3}$ ✓
4096.bvd.8._.DJ $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^6.C_2\wr C_2^2$ $2^{12}$ $C_2^3$ $2^{3}$ ✓
4096.bvd.8._.DP $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^6.C_2\wr C_2^2$ $2^{12}$ $C_2^3$ $2^{3}$ ✓
4096.bvd.8._.DR $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^6.C_2\wr C_2^2$ $2^{12}$ $C_2^3$ $2^{3}$ ✓
4096.bvd.8._.ER $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^6.C_2\wr C_2^2$ $2^{12}$ $C_2^3$ $2^{3}$ ✓
4096.bvd.8._.ET $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^6.C_2\wr C_2^2$ $2^{12}$ $C_2^3$ $2^{3}$ ✓
4096.bvt.8._.ES $C_2^5.\SD_{16}$ $2^{9}$ $C_2^6.C_2\wr C_4$ $2^{12}$ $2^{3}$ $-$
4096.bvt.8._.FQ $C_2^5.\SD_{16}$ $2^{9}$ $C_2^6.C_2\wr C_4$ $2^{12}$ $2^{3}$ $-$
4096.bwg.8._.EQ $C_2^5.\SD_{16}$ $2^{9}$ $C_2^6.C_2\wr C_4$ $2^{12}$ $2^{3}$ $-$
4096.bwg.8._.ES $C_2^5.\SD_{16}$ $2^{9}$ $C_2^6.C_2\wr C_4$ $2^{12}$ $2^{3}$ $-$
4096.bwg.8._.FN $C_2^5.\SD_{16}$ $2^{9}$ $C_2^6.C_2\wr C_4$ $2^{12}$ $2^{3}$ $-$
4096.bwg.8._.FP $C_2^5.\SD_{16}$ $2^{9}$ $C_2^6.C_2\wr C_4$ $2^{12}$ $2^{3}$ $-$
8192.yf.16._.KO $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^5.C_8:C_2^5$ $2^{13}$ $C_2^4$ $2^{4}$ ✓
8192.yf.16._.KP $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^5.C_8:C_2^5$ $2^{13}$ $C_2^4$ $2^{4}$ ✓
8192.yf.16._.LB $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^5.C_8:C_2^5$ $2^{13}$ $C_2^4$ $2^{4}$ ✓
8192.yf.16._.LC $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^5.C_8:C_2^5$ $2^{13}$ $C_2^4$ $2^{4}$ ✓
8192.yf.16._.LD $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^5.C_8:C_2^5$ $2^{13}$ $C_2^4$ $2^{4}$ ✓
8192.yf.16._.LE $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^5.C_8:C_2^5$ $2^{13}$ $C_2^4$ $2^{4}$ ✓
8192.yf.16._.LI $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^5.C_8:C_2^5$ $2^{13}$ $C_2^4$ $2^{4}$ ✓
8192.yf.16._.LJ $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^5.C_8:C_2^5$ $2^{13}$ $C_2^4$ $2^{4}$ ✓
8192.yf.16._.QN $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^5.C_8:C_2^5$ $2^{13}$ $C_2^4$ $2^{4}$ ✓
8192.yf.16._.QP $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^5.C_8:C_2^5$ $2^{13}$ $C_2^4$ $2^{4}$ ✓
8192.yf.16._.QQ $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^5.C_8:C_2^5$ $2^{13}$ $C_2^4$ $2^{4}$ ✓
8192.yf.16._.QS $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^5.C_8:C_2^5$ $2^{13}$ $C_2^4$ $2^{4}$ ✓
8192.yf.16._.RC $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^5.C_8:C_2^5$ $2^{13}$ $C_2^4$ $2^{4}$ ✓
8192.yf.16._.RD $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^5.C_8:C_2^5$ $2^{13}$ $C_2^4$ $2^{4}$ ✓
8192.yf.16._.RE $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^5.C_8:C_2^5$ $2^{13}$ $C_2^4$ $2^{4}$ ✓
8192.yf.16._.RF $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^5.C_8:C_2^5$ $2^{13}$ $C_2^4$ $2^{4}$ ✓
8192.yf.16._.RU $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^5.C_8:C_2^5$ $2^{13}$ $C_2^4$ $2^{4}$ ✓
8192.yf.16._.RW $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^5.C_8:C_2^5$ $2^{13}$ $C_2^4$ $2^{4}$ ✓
8192.yf.16._.SI $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^5.C_8:C_2^5$ $2^{13}$ $C_2^4$ $2^{4}$ ✓
8192.yf.16._.SJ $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^5.C_8:C_2^5$ $2^{13}$ $C_2^4$ $2^{4}$ ✓
8192.yf.16._.UG $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^5.C_8:C_2^5$ $2^{13}$ $C_2^4$ $2^{4}$ ✓
8192.yf.16._.UK $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^5.C_8:C_2^5$ $2^{13}$ $C_2^4$ $2^{4}$ ✓
8192.yf.16._.UU $C_2^5.\SD_{16}$ $2^{9}$ ✓ $C_2^5.C_8:C_2^5$ $2^{13}$ $C_2^4$ $2^{4}$ ✓
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