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

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Results (42 matches)

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Label Subgroup Ambient Quotient
Name Order Sylow norm char max cent ab Name Order Name Size max ab
512.60809.1.a1.a1 $D_8\wr C_2$ $2^{9}$ $2$ $D_8\wr C_2$ $2^{9}$ $C_1$ $1$
2048.cmc.4._.CP $D_8\wr C_2$ $2^{9}$ $D_8^2.D_4$ $2^{11}$ $2^{2}$ $-$
2048.cmc.4._.CX $D_8\wr C_2$ $2^{9}$ $D_8^2.D_4$ $2^{11}$ $2^{2}$ $-$
2048.cuk.4._.CW $D_8\wr C_2$ $2^{9}$ $D_8^2.D_4$ $2^{11}$ $2^{2}$ $-$
4096.bpa.8._.JY $D_8\wr C_2$ $2^{9}$ $(C_4\times \OD_{16}).D_4^2$ $2^{12}$ $2^{3}$ $-$
4096.bpa.8._.MK $D_8\wr C_2$ $2^{9}$ $(C_4\times \OD_{16}).D_4^2$ $2^{12}$ $2^{3}$ $-$
4096.bre.8._.NG $D_8\wr C_2$ $2^{9}$ $D_8^2.C_2^2:C_4$ $2^{12}$ $2^{3}$ $-$
4096.bre.8._.NK $D_8\wr C_2$ $2^{9}$ $D_8^2.C_2^2:C_4$ $2^{12}$ $2^{3}$ $-$
4096.bre.8._.NO $D_8\wr C_2$ $2^{9}$ $D_8^2.C_2^2:C_4$ $2^{12}$ $2^{3}$ $-$
4096.bre.8._.NS $D_8\wr C_2$ $2^{9}$ $D_8^2.C_2^2:C_4$ $2^{12}$ $2^{3}$ $-$
4096.bre.8._.NW $D_8\wr C_2$ $2^{9}$ $D_8^2.C_2^2:C_4$ $2^{12}$ $2^{3}$ $-$
4096.bre.8._.OA $D_8\wr C_2$ $2^{9}$ $D_8^2.C_2^2:C_4$ $2^{12}$ $2^{3}$ $-$
4096.bre.8._.OE $D_8\wr C_2$ $2^{9}$ $D_8^2.C_2^2:C_4$ $2^{12}$ $2^{3}$ $-$
4096.bre.8._.OI $D_8\wr C_2$ $2^{9}$ $D_8^2.C_2^2:C_4$ $2^{12}$ $2^{3}$ $-$
4096.buh.8._.DX $D_8\wr C_2$ $2^{9}$ $C_4^2:C_2^2.D_4^2$ $2^{12}$ $2^{3}$ $-$
4096.buh.8._.DY $D_8\wr C_2$ $2^{9}$ $C_4^2:C_2^2.D_4^2$ $2^{12}$ $2^{3}$ $-$
4096.buh.8._.EF $D_8\wr C_2$ $2^{9}$ $C_4^2:C_2^2.D_4^2$ $2^{12}$ $2^{3}$ $-$
4096.buh.8._.EG $D_8\wr C_2$ $2^{9}$ $C_4^2:C_2^2.D_4^2$ $2^{12}$ $2^{3}$ $-$
12288.bih.24.do1 $D_8\wr C_2$ $2^{9}$ $C_8^3:S_4$ $2^{12} \cdot 3$ $2^{3} \cdot 3$ $-$
12288.bij.24.do1 $D_8\wr C_2$ $2^{9}$ $C_8^3:S_4$ $2^{12} \cdot 3$ $2^{3} \cdot 3$ $-$
12288.bkb.24.fo1 $D_8\wr C_2$ $2^{9}$ $D_4^3:S_4$ $2^{12} \cdot 3$ $2^{3} \cdot 3$ $-$
12288.bkb.24.fn1 $D_8\wr C_2$ $2^{9}$ $D_4^3:S_4$ $2^{12} \cdot 3$ $2^{3} \cdot 3$ $-$
12288.bky.24.df1 $D_8\wr C_2$ $2^{9}$ $C_8^3:S_4$ $2^{12} \cdot 3$ $2^{3} \cdot 3$ $-$
12288.blb.24.FP $D_8\wr C_2$ $2^{9}$ $C_8^3:S_4$ $2^{12} \cdot 3$ $2^{3} \cdot 3$ $-$
12288.blr.24.gx1 $D_8\wr C_2$ $2^{9}$ $D_4^3:S_4$ $2^{12} \cdot 3$ $2^{3} \cdot 3$ $-$
225792.a.441.a1.a1 $D_8\wr C_2$ $2^{9}$ $2$ $\GOrthPlus(4,7)$ $2^{9} \cdot 3^{2} \cdot 7^{2}$ $3^{2} \cdot 7^{2}$ $-$
225792.g.441.a1.a1 $D_8\wr C_2$ $2^{9}$ $2$ $\PGL(2,7)\wr C_2$ $2^{9} \cdot 3^{2} \cdot 7^{2}$ $3^{2} \cdot 7^{2}$ $-$
1036800.d.2025.a1 $D_8\wr C_2$ $2^{9}$ $2$ $\PGL(2,9)\wr C_2$ $2^{9} \cdot 3^{4} \cdot 5^{2}$ $3^{4} \cdot 5^{2}$ $-$
1354752.a.2646._.A $D_8\wr C_2$ $2^{9}$ $\GOrthPlus(4,7)$ $2^{10} \cdot 3^{3} \cdot 7^{2}$ $2 \cdot 3^{3} \cdot 7^{2}$ $-$
1354752.a.2646._.G $D_8\wr C_2$ $2^{9}$ $\GOrthPlus(4,7)$ $2^{10} \cdot 3^{3} \cdot 7^{2}$ $2 \cdot 3^{3} \cdot 7^{2}$ $-$
2073600.d.4050.D $D_8\wr C_2$ $2^{9}$ $\PGL(2,9)\wr C_2:C_2$ $2^{10} \cdot 3^{4} \cdot 5^{2}$ $2 \cdot 3^{4} \cdot 5^{2}$ $-$
2073600.v.4050.H $D_8\wr C_2$ $2^{9}$ $C_2\times \PGL(2,9)\wr C_2$ $2^{10} \cdot 3^{4} \cdot 5^{2}$ $2 \cdot 3^{4} \cdot 5^{2}$ $-$
2073600.v.4050.I $D_8\wr C_2$ $2^{9}$ $C_2\times \PGL(2,9)\wr C_2$ $2^{10} \cdot 3^{4} \cdot 5^{2}$ $2 \cdot 3^{4} \cdot 5^{2}$ $-$
3359232.dr.6561.a1.a1 $D_8\wr C_2$ $2^{9}$ $2$ $C_3^8:D_8\wr C_2$ $2^{9} \cdot 3^{8}$ $3^{8}$ $-$
11985408.c.23409.a1.a1 $D_8\wr C_2$ $2^{9}$ $2$ $\PSL(2,17)\wr C_2$ $2^{9} \cdot 3^{4} \cdot 17^{2}$ $3^{4} \cdot 17^{2}$ $-$
23970816.b.46818._.B $D_8\wr C_2$ $2^{9}$ $\POPlus(4,17)$ $2^{10} \cdot 3^{4} \cdot 17^{2}$ $2 \cdot 3^{4} \cdot 17^{2}$ $-$
23970816.b.46818._.F $D_8\wr C_2$ $2^{9}$ $\POPlus(4,17)$ $2^{10} \cdot 3^{4} \cdot 17^{2}$ $2 \cdot 3^{4} \cdot 17^{2}$ $-$
47941632.a.93636._.M $D_8\wr C_2$ $2^{9}$ $\PSL(2,17)^2.D_4$ $2^{11} \cdot 3^{4} \cdot 17^{2}$ $2^{2} \cdot 3^{4} \cdot 17^{2}$ $-$
47941632.a.93636._.N $D_8\wr C_2$ $2^{9}$ $\PSL(2,17)^2.D_4$ $2^{11} \cdot 3^{4} \cdot 17^{2}$ $2^{2} \cdot 3^{4} \cdot 17^{2}$ $-$
276595200.b.540225.a1.a1 $D_8\wr C_2$ $2^{9}$ $2$ $\SO(5,7)$ $2^{9} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4}$ $3^{2} \cdot 5^{2} \cdot 7^{4}$ $-$
3443212800.b.6725025.a1.a1 $D_8\wr C_2$ $2^{9}$ $2$ $\SO(5,9)$ $2^{9} \cdot 3^{8} \cdot 5^{2} \cdot 41$ $3^{8} \cdot 5^{2} \cdot 41$ $-$
2317591180800.a.4526545275.a1.a1 $D_8\wr C_2$ $2^{9}$ $2$ $\PSL(4,7)$ $2^{9} \cdot 3^{4} \cdot 5^{2} \cdot 7^{6} \cdot 19$ $3^{4} \cdot 5^{2} \cdot 7^{6} \cdot 19$ $-$
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