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Extensions 1→N→G→Q→1 with N=C22 and Q=C2×D20

Direct product G=N×Q with N=C22 and Q=C2×D20
dρLabelID
C23×D20160C2^3xD20320,1610

Semidirect products G=N:Q with N=C22 and Q=C2×D20
extensionφ:Q→Aut NdρLabelID
C22⋊1(C2×D20) = D4×D20φ: C2×D20/D20 → C2 ⊆ Aut C2280C2^2:1(C2xD20)320,1221
C22⋊2(C2×D20) = C2×C20⋊7D4φ: C2×D20/C2×C20 → C2 ⊆ Aut C22160C2^2:2(C2xD20)320,1462
C22⋊3(C2×D20) = C2×C22⋊D20φ: C2×D20/C22×D5 → C2 ⊆ Aut C2280C2^2:3(C2xD20)320,1159

Non-split extensions G=N.Q with N=C22 and Q=C2×D20
extensionφ:Q→Aut NdρLabelID
C22.1(C2×D20) = D4⋊5D20φ: C2×D20/D20 → C2 ⊆ Aut C2280C2^2.1(C2xD20)320,1226
C22.2(C2×D20) = D4⋊6D20φ: C2×D20/D20 → C2 ⊆ Aut C22160C2^2.2(C2xD20)320,1227
C22.3(C2×D20) = D4.11D20φ: C2×D20/D20 → C2 ⊆ Aut C22804C2^2.3(C2xD20)320,1423
C22.4(C2×D20) = D4.12D20φ: C2×D20/D20 → C2 ⊆ Aut C22804+C2^2.4(C2xD20)320,1424
C22.5(C2×D20) = D4.13D20φ: C2×D20/D20 → C2 ⊆ Aut C221604-C2^2.5(C2xD20)320,1425
C22.6(C2×D20) = C42.276D10φ: C2×D20/C2×C20 → C2 ⊆ Aut C22160C2^2.6(C2xD20)320,1149
C22.7(C2×D20) = C10.2+ 1+4φ: C2×D20/C2×C20 → C2 ⊆ Aut C22160C2^2.7(C2xD20)320,1182
C22.8(C2×D20) = C23⋊D20φ: C2×D20/C22×D5 → C2 ⊆ Aut C22408+C2^2.8(C2xD20)320,368
C22.9(C2×D20) = C23.5D20φ: C2×D20/C22×D5 → C2 ⊆ Aut C22808-C2^2.9(C2xD20)320,369
C22.10(C2×D20) = D20.1D4φ: C2×D20/C22×D5 → C2 ⊆ Aut C22808-C2^2.10(C2xD20)320,373
C22.11(C2×D20) = D20⋊1D4φ: C2×D20/C22×D5 → C2 ⊆ Aut C22408+C2^2.11(C2xD20)320,374
C22.12(C2×D20) = D20.4D4φ: C2×D20/C22×D5 → C2 ⊆ Aut C22808-C2^2.12(C2xD20)320,379
C22.13(C2×D20) = D20.5D4φ: C2×D20/C22×D5 → C2 ⊆ Aut C22808+C2^2.13(C2xD20)320,380
C22.14(C2×D20) = C2×C23.1D10φ: C2×D20/C22×D5 → C2 ⊆ Aut C2280C2^2.14(C2xD20)320,581
C22.15(C2×D20) = (C2×D20)⋊25C4φ: C2×D20/C22×D5 → C2 ⊆ Aut C22804C2^2.15(C2xD20)320,633
C22.16(C2×D20) = C2×D20⋊7C4φ: C2×D20/C22×D5 → C2 ⊆ Aut C2280C2^2.16(C2xD20)320,765
C22.17(C2×D20) = C23.20D20φ: C2×D20/C22×D5 → C2 ⊆ Aut C22804C2^2.17(C2xD20)320,766
C22.18(C2×D20) = C23⋊3D20φ: C2×D20/C22×D5 → C2 ⊆ Aut C2280C2^2.18(C2xD20)320,1165
C22.19(C2×D20) = C42⋊8D10φ: C2×D20/C22×D5 → C2 ⊆ Aut C2280C2^2.19(C2xD20)320,1196
C22.20(C2×D20) = C42⋊9D10φ: C2×D20/C22×D5 → C2 ⊆ Aut C2280C2^2.20(C2xD20)320,1197
C22.21(C2×D20) = C42.92D10φ: C2×D20/C22×D5 → C2 ⊆ Aut C22160C2^2.21(C2xD20)320,1198
C22.22(C2×D20) = C40.9C23φ: C2×D20/C22×D5 → C2 ⊆ Aut C22804C2^2.22(C2xD20)320,1420
C22.23(C2×D20) = C2.(C4×D20)central extension (φ=1)320C2^2.23(C2xD20)320,280
C22.24(C2×D20) = (C2×C4)⋊9D20central extension (φ=1)160C2^2.24(C2xD20)320,292
C22.25(C2×D20) = D10⋊3(C4⋊C4)central extension (φ=1)160C2^2.25(C2xD20)320,295
C22.26(C2×D20) = C10.55(C4×D4)central extension (φ=1)160C2^2.26(C2xD20)320,297
C22.27(C2×D20) = C4×C40⋊C2central extension (φ=1)160C2^2.27(C2xD20)320,318
C22.28(C2×D20) = C4×D40central extension (φ=1)160C2^2.28(C2xD20)320,319
C22.29(C2×D20) = C4×Dic20central extension (φ=1)320C2^2.29(C2xD20)320,325
C22.30(C2×D20) = C42.16D10central extension (φ=1)160C2^2.30(C2xD20)320,337
C22.31(C2×D20) = D40⋊9C4central extension (φ=1)160C2^2.31(C2xD20)320,338
C22.32(C2×D20) = Dic20⋊9C4central extension (φ=1)320C2^2.32(C2xD20)320,343
C22.33(C2×D20) = C20⋊7(C4⋊C4)central extension (φ=1)320C2^2.33(C2xD20)320,555
C22.34(C2×D20) = (C2×C20)⋊10Q8central extension (φ=1)320C2^2.34(C2xD20)320,556
C22.35(C2×D20) = C4×C4⋊Dic5central extension (φ=1)320C2^2.35(C2xD20)320,561
C22.36(C2×D20) = C42⋊8Dic5central extension (φ=1)320C2^2.36(C2xD20)320,562
C22.37(C2×D20) = C42⋊9Dic5central extension (φ=1)320C2^2.37(C2xD20)320,563
C22.38(C2×D20) = C4×D10⋊C4central extension (φ=1)160C2^2.38(C2xD20)320,565
C22.39(C2×D20) = (C2×C4)⋊6D20central extension (φ=1)160C2^2.39(C2xD20)320,566
C22.40(C2×D20) = (C2×C42)⋊D5central extension (φ=1)160C2^2.40(C2xD20)320,567
C22.41(C2×D20) = C23.42D20central extension (φ=1)160C2^2.41(C2xD20)320,570
C22.42(C2×D20) = C24.47D10central extension (φ=1)160C2^2.42(C2xD20)320,577
C22.43(C2×D20) = C24.48D10central extension (φ=1)80C2^2.43(C2xD20)320,582
C22.44(C2×D20) = C23.45D20central extension (φ=1)160C2^2.44(C2xD20)320,585
C22.45(C2×D20) = (C2×Dic5)⋊6Q8central extension (φ=1)320C2^2.45(C2xD20)320,601
C22.46(C2×D20) = C20⋊6(C4⋊C4)central extension (φ=1)320C2^2.46(C2xD20)320,612
C22.47(C2×D20) = D10⋊4(C4⋊C4)central extension (φ=1)160C2^2.47(C2xD20)320,614
C22.48(C2×D20) = (C2×D20)⋊22C4central extension (φ=1)160C2^2.48(C2xD20)320,615
C22.49(C2×D20) = C2×C20.44D4central extension (φ=1)320C2^2.49(C2xD20)320,730
C22.50(C2×D20) = C2×C40⋊6C4central extension (φ=1)320C2^2.50(C2xD20)320,731
C22.51(C2×D20) = C2×C40⋊5C4central extension (φ=1)320C2^2.51(C2xD20)320,732
C22.52(C2×D20) = C23.22D20central extension (φ=1)160C2^2.52(C2xD20)320,733
C22.53(C2×D20) = C2×D20⋊5C4central extension (φ=1)160C2^2.53(C2xD20)320,739
C22.54(C2×D20) = C23.23D20central extension (φ=1)160C2^2.54(C2xD20)320,740
C22.55(C2×D20) = C23.46D20central extension (φ=1)160C2^2.55(C2xD20)320,747
C22.56(C2×D20) = C23.47D20central extension (φ=1)160C2^2.56(C2xD20)320,748
C22.57(C2×D20) = C23.48D20central extension (φ=1)80C2^2.57(C2xD20)320,758
C22.58(C2×D20) = C23.49D20central extension (φ=1)160C2^2.58(C2xD20)320,760
C22.59(C2×D20) = C2×C10.10C42central extension (φ=1)320C2^2.59(C2xD20)320,835
C22.60(C2×D20) = C24.64D10central extension (φ=1)160C2^2.60(C2xD20)320,839
C22.61(C2×D20) = C24.65D10central extension (φ=1)160C2^2.61(C2xD20)320,840
C22.62(C2×D20) = C2×C20⋊2Q8central extension (φ=1)320C2^2.62(C2xD20)320,1140
C22.63(C2×D20) = C2×C4×D20central extension (φ=1)160C2^2.63(C2xD20)320,1145
C22.64(C2×D20) = C2×C20⋊4D4central extension (φ=1)160C2^2.64(C2xD20)320,1147
C22.65(C2×D20) = C2×C4.D20central extension (φ=1)160C2^2.65(C2xD20)320,1148
C22.66(C2×D20) = C2×C22.D20central extension (φ=1)160C2^2.66(C2xD20)320,1164
C22.67(C2×D20) = C2×C4⋊D20central extension (φ=1)160C2^2.67(C2xD20)320,1178
C22.68(C2×D20) = C2×D10⋊2Q8central extension (φ=1)160C2^2.68(C2xD20)320,1181
C22.69(C2×D20) = C22×C40⋊C2central extension (φ=1)160C2^2.69(C2xD20)320,1411
C22.70(C2×D20) = C22×D40central extension (φ=1)160C2^2.70(C2xD20)320,1412
C22.71(C2×D20) = C2×D40⋊7C2central extension (φ=1)160C2^2.71(C2xD20)320,1413
C22.72(C2×D20) = C22×Dic20central extension (φ=1)320C2^2.72(C2xD20)320,1414
C22.73(C2×D20) = C2×C8⋊D10central extension (φ=1)80C2^2.73(C2xD20)320,1418
C22.74(C2×D20) = C2×C8.D10central extension (φ=1)160C2^2.74(C2xD20)320,1419
C22.75(C2×D20) = C22×C4⋊Dic5central extension (φ=1)320C2^2.75(C2xD20)320,1457
C22.76(C2×D20) = C22×D10⋊C4central extension (φ=1)160C2^2.76(C2xD20)320,1459
C22.77(C2×D20) = (C2×Dic5)⋊Q8central stem extension (φ=1)320C2^2.77(C2xD20)320,283
C22.78(C2×D20) = (C2×C20).28D4central stem extension (φ=1)320C2^2.78(C2xD20)320,286
C22.79(C2×D20) = C10.(C4⋊Q8)central stem extension (φ=1)320C2^2.79(C2xD20)320,288
C22.80(C2×D20) = (C2×C20)⋊5D4central stem extension (φ=1)160C2^2.80(C2xD20)320,298
C22.81(C2×D20) = (C2×Dic5)⋊3D4central stem extension (φ=1)160C2^2.81(C2xD20)320,299
C22.82(C2×D20) = (C2×C4).20D20central stem extension (φ=1)160C2^2.82(C2xD20)320,300
C22.83(C2×D20) = (C2×C4).21D20central stem extension (φ=1)160C2^2.83(C2xD20)320,301
C22.84(C2×D20) = (C2×C20).33D4central stem extension (φ=1)160C2^2.84(C2xD20)320,304
C22.85(C2×D20) = C40⋊9Q8central stem extension (φ=1)320C2^2.85(C2xD20)320,307
C22.86(C2×D20) = C20.14Q16central stem extension (φ=1)320C2^2.86(C2xD20)320,308
C22.87(C2×D20) = C40⋊8Q8central stem extension (φ=1)320C2^2.87(C2xD20)320,309
C22.88(C2×D20) = C40.13Q8central stem extension (φ=1)320C2^2.88(C2xD20)320,310
C22.89(C2×D20) = C8⋊5D20central stem extension (φ=1)160C2^2.89(C2xD20)320,320
C22.90(C2×D20) = C4.5D40central stem extension (φ=1)160C2^2.90(C2xD20)320,321
C22.91(C2×D20) = C20⋊4D8central stem extension (φ=1)160C2^2.91(C2xD20)320,322
C22.92(C2×D20) = C8.8D20central stem extension (φ=1)160C2^2.92(C2xD20)320,323
C22.93(C2×D20) = C42.264D10central stem extension (φ=1)160C2^2.93(C2xD20)320,324
C22.94(C2×D20) = C20⋊4Q16central stem extension (φ=1)320C2^2.94(C2xD20)320,326
C22.95(C2×D20) = C8⋊Dic10central stem extension (φ=1)320C2^2.95(C2xD20)320,329
C22.96(C2×D20) = C42.14D10central stem extension (φ=1)320C2^2.96(C2xD20)320,330
C22.97(C2×D20) = C8⋊D20central stem extension (φ=1)160C2^2.97(C2xD20)320,339
C22.98(C2×D20) = C42.19D10central stem extension (φ=1)160C2^2.98(C2xD20)320,340
C22.99(C2×D20) = C42.20D10central stem extension (φ=1)160C2^2.99(C2xD20)320,341
C22.100(C2×D20) = C8.D20central stem extension (φ=1)160C2^2.100(C2xD20)320,342
C22.101(C2×D20) = C23.34D20central stem extension (φ=1)160C2^2.101(C2xD20)320,348
C22.102(C2×D20) = C23.35D20central stem extension (φ=1)160C2^2.102(C2xD20)320,349
C22.103(C2×D20) = C23.10D20central stem extension (φ=1)160C2^2.103(C2xD20)320,350
C22.104(C2×D20) = D20.31D4central stem extension (φ=1)80C2^2.104(C2xD20)320,358
C22.105(C2×D20) = D20⋊13D4central stem extension (φ=1)80C2^2.105(C2xD20)320,359
C22.106(C2×D20) = D20.32D4central stem extension (φ=1)160C2^2.106(C2xD20)320,360
C22.107(C2×D20) = D20⋊14D4central stem extension (φ=1)160C2^2.107(C2xD20)320,361
C22.108(C2×D20) = C23.38D20central stem extension (φ=1)160C2^2.108(C2xD20)320,362
C22.109(C2×D20) = C22.D40central stem extension (φ=1)160C2^2.109(C2xD20)320,363
C22.110(C2×D20) = C23.13D20central stem extension (φ=1)160C2^2.110(C2xD20)320,364
C22.111(C2×D20) = Dic10⋊14D4central stem extension (φ=1)160C2^2.111(C2xD20)320,365
C22.112(C2×D20) = C22⋊Dic20central stem extension (φ=1)160C2^2.112(C2xD20)320,366
C22.113(C2×D20) = Dic10.3Q8central stem extension (φ=1)320C2^2.113(C2xD20)320,456
C22.114(C2×D20) = C20⋊SD16central stem extension (φ=1)160C2^2.114(C2xD20)320,468
C22.115(C2×D20) = D20⋊3Q8central stem extension (φ=1)160C2^2.115(C2xD20)320,469
C22.116(C2×D20) = C4⋊D40central stem extension (φ=1)160C2^2.116(C2xD20)320,470
C22.117(C2×D20) = D20.19D4central stem extension (φ=1)160C2^2.117(C2xD20)320,471
C22.118(C2×D20) = C42.36D10central stem extension (φ=1)160C2^2.118(C2xD20)320,472
C22.119(C2×D20) = D20⋊4Q8central stem extension (φ=1)160C2^2.119(C2xD20)320,473
C22.120(C2×D20) = D20.3Q8central stem extension (φ=1)160C2^2.120(C2xD20)320,474
C22.121(C2×D20) = Dic10⋊8D4central stem extension (φ=1)160C2^2.121(C2xD20)320,475
C22.122(C2×D20) = C4⋊Dic20central stem extension (φ=1)320C2^2.122(C2xD20)320,476
C22.123(C2×D20) = C20.7Q16central stem extension (φ=1)320C2^2.123(C2xD20)320,477
C22.124(C2×D20) = Dic10⋊4Q8central stem extension (φ=1)320C2^2.124(C2xD20)320,478
C22.125(C2×D20) = C23.14D20central stem extension (φ=1)160C2^2.125(C2xD20)320,580
C22.126(C2×D20) = C23⋊2D20central stem extension (φ=1)160C2^2.126(C2xD20)320,587
C22.127(C2×D20) = C24.16D10central stem extension (φ=1)160C2^2.127(C2xD20)320,588
C22.128(C2×D20) = (C2×C20).53D4central stem extension (φ=1)320C2^2.128(C2xD20)320,610
C22.129(C2×D20) = (C2×C4)⋊3D20central stem extension (φ=1)160C2^2.129(C2xD20)320,618
C22.130(C2×D20) = (C2×C20).56D4central stem extension (φ=1)160C2^2.130(C2xD20)320,621
C22.131(C2×D20) = C40⋊30D4central stem extension (φ=1)160C2^2.131(C2xD20)320,741
C22.132(C2×D20) = C40⋊29D4central stem extension (φ=1)160C2^2.132(C2xD20)320,742
C22.133(C2×D20) = C40.82D4central stem extension (φ=1)160C2^2.133(C2xD20)320,743
C22.134(C2×D20) = C40⋊2D4central stem extension (φ=1)160C2^2.134(C2xD20)320,761
C22.135(C2×D20) = C40⋊3D4central stem extension (φ=1)160C2^2.135(C2xD20)320,762
C22.136(C2×D20) = C40.4D4central stem extension (φ=1)160C2^2.136(C2xD20)320,764

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