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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 52 matches)

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Label Subgroup Ambient Quotient
Name Order Sylow norm char max cent ab Name Order Name Size max ab
21233664.bk.1.a1 $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ ✓ ✓ $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_1$ $1$ ✓
42467328.y.2.C $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ ✓ ✓ ✓ $C_2^7.(S_4^3.S_4)$ $2^{19} \cdot 3^{4}$ $C_2$ $2$ ✓
42467328.ph.2._.A $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ ✓ ✓ $C_2^{10}.A_4^3:S_4$ $2^{19} \cdot 3^{4}$ $C_2$ $2$ ✓
42467328.ph.2._.C $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ ✓ ✓ $C_2^{10}.A_4^3:S_4$ $2^{19} \cdot 3^{4}$ $C_2$ $2$ ✓
42467328.ph.2._.E $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ ✓ ✓ $C_2^{10}.A_4^3:S_4$ $2^{19} \cdot 3^{4}$ $C_2$ $2$ ✓
42467328.ph.2._.G $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ ✓ ✓ $C_2^{10}.A_4^3:S_4$ $2^{19} \cdot 3^{4}$ $C_2$ $2$ ✓
84934656.nl.4._.B $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ ✓ $C_2^{10}.(C_2\times A_4^3:S_4)$ $2^{20} \cdot 3^{4}$ $2^{2}$ $-$
84934656.nl.4._.E $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ ✓ $C_2^{10}.(C_2\times A_4^3:S_4)$ $2^{20} \cdot 3^{4}$ $2^{2}$ $-$
84934656.nl.4._.F $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ ✓ $C_2^{10}.(C_2\times A_4^3:S_4)$ $2^{20} \cdot 3^{4}$ $2^{2}$ $-$
84934656.nl.4._.G $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ ✓ $C_2^{10}.(C_2\times A_4^3:S_4)$ $2^{20} \cdot 3^{4}$ $2^{2}$ $-$
84934656.nr.4._.S $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ ✓ $C_2^8.(S_4^3.S_4)$ $2^{20} \cdot 3^{4}$ $C_2^2$ $2^{2}$ ✓
84934656.nr.4._.W $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ ✓ $C_2^8.(S_4^3.S_4)$ $2^{20} \cdot 3^{4}$ $C_2^2$ $2^{2}$ ✓
84934656.nr.4._.BA $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ ✓ $C_2^8.(S_4^3.S_4)$ $2^{20} \cdot 3^{4}$ $C_2^2$ $2^{2}$ ✓
84934656.nr.4._.BI $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ ✓ $C_2^8.(S_4^3.S_4)$ $2^{20} \cdot 3^{4}$ $C_2^2$ $2^{2}$ ✓
169869312.mt.8._.B $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{12}.A_4^3:S_4$ $2^{21} \cdot 3^{4}$ $2^{3}$ $-$
169869312.mt.8._.L $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{12}.A_4^3:S_4$ $2^{21} \cdot 3^{4}$ $2^{3}$ $-$
169869312.mt.8._.M $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{12}.A_4^3:S_4$ $2^{21} \cdot 3^{4}$ $2^{3}$ $-$
169869312.mt.8._.N $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{12}.A_4^3:S_4$ $2^{21} \cdot 3^{4}$ $2^{3}$ $-$
169869312.mt.8._.O $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{12}.A_4^3:S_4$ $2^{21} \cdot 3^{4}$ $2^{3}$ $-$
169869312.mt.8._.Z $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{12}.A_4^3:S_4$ $2^{21} \cdot 3^{4}$ $2^{3}$ $-$
169869312.mt.8._.BA $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{12}.A_4^3:S_4$ $2^{21} \cdot 3^{4}$ $2^{3}$ $-$
169869312.mt.8._.BB $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{12}.A_4^3:S_4$ $2^{21} \cdot 3^{4}$ $2^{3}$ $-$
169869312.mt.8._.BC $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{12}.A_4^3:S_4$ $2^{21} \cdot 3^{4}$ $2^{3}$ $-$
169869312.mt.8._.BN $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{12}.A_4^3:S_4$ $2^{21} \cdot 3^{4}$ $2^{3}$ $-$
169869312.mt.8._.BO $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{12}.A_4^3:S_4$ $2^{21} \cdot 3^{4}$ $2^{3}$ $-$
169869312.mt.8._.BP $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{12}.A_4^3:S_4$ $2^{21} \cdot 3^{4}$ $2^{3}$ $-$
169869312.mt.8._.BQ $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{12}.A_4^3:S_4$ $2^{21} \cdot 3^{4}$ $2^{3}$ $-$
169869312.mt.8._.BU $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{12}.A_4^3:S_4$ $2^{21} \cdot 3^{4}$ $2^{3}$ $-$
169869312.mt.8._.BV $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{12}.A_4^3:S_4$ $2^{21} \cdot 3^{4}$ $2^{3}$ $-$
169869312.mt.8._.BW $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{12}.A_4^3:S_4$ $2^{21} \cdot 3^{4}$ $2^{3}$ $-$
169869312.pb.8._.B $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^9.(S_4^3.S_4)$ $2^{21} \cdot 3^{4}$ $2^{3}$ $-$
169869312.pb.8._.BU $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^9.(S_4^3.S_4)$ $2^{21} \cdot 3^{4}$ $2^{3}$ $-$
169869312.pb.8._.BV $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^9.(S_4^3.S_4)$ $2^{21} \cdot 3^{4}$ $2^{3}$ $-$
169869312.pb.8._.BW $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^9.(S_4^3.S_4)$ $2^{21} \cdot 3^{4}$ $2^{3}$ $-$
339738624.hf.16._.BU $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{10}.(D_4\times A_4^3:S_4)$ $2^{22} \cdot 3^{4}$ $2^{4}$ $-$
339738624.hf.16._.BV $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{10}.(D_4\times A_4^3:S_4)$ $2^{22} \cdot 3^{4}$ $2^{4}$ $-$
339738624.hf.16._.BW $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{10}.(D_4\times A_4^3:S_4)$ $2^{22} \cdot 3^{4}$ $2^{4}$ $-$
339738624.hf.16._.BX $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{10}.(D_4\times A_4^3:S_4)$ $2^{22} \cdot 3^{4}$ $2^{4}$ $-$
339738624.hf.16._.CB $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{10}.(D_4\times A_4^3:S_4)$ $2^{22} \cdot 3^{4}$ $2^{4}$ $-$
339738624.hf.16._.CC $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{10}.(D_4\times A_4^3:S_4)$ $2^{22} \cdot 3^{4}$ $2^{4}$ $-$
339738624.hf.16._.CD $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{10}.(D_4\times A_4^3:S_4)$ $2^{22} \cdot 3^{4}$ $2^{4}$ $-$
339738624.hf.16._.CE $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{10}.(D_4\times A_4^3:S_4)$ $2^{22} \cdot 3^{4}$ $2^{4}$ $-$
339738624.if.16._.BO $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{10}.(S_4^3.S_4)$ $2^{22} \cdot 3^{4}$ $2^{4}$ $-$
339738624.if.16._.BP $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{10}.(S_4^3.S_4)$ $2^{22} \cdot 3^{4}$ $2^{4}$ $-$
339738624.if.16._.BQ $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{10}.(S_4^3.S_4)$ $2^{22} \cdot 3^{4}$ $2^{4}$ $-$
339738624.if.16._.BR $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{10}.(S_4^3.S_4)$ $2^{22} \cdot 3^{4}$ $2^{4}$ $-$
339738624.if.16._.BV $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{10}.(S_4^3.S_4)$ $2^{22} \cdot 3^{4}$ $2^{4}$ $-$
339738624.if.16._.BW $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{10}.(S_4^3.S_4)$ $2^{22} \cdot 3^{4}$ $2^{4}$ $-$
339738624.if.16._.BX $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{10}.(S_4^3.S_4)$ $2^{22} \cdot 3^{4}$ $2^{4}$ $-$
339738624.if.16._.BY $C_2^9.A_4^3:S_4$ $2^{18} \cdot 3^{4}$ $C_2^{10}.(S_4^3.S_4)$ $2^{22} \cdot 3^{4}$ $2^{4}$ $-$
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