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Extensions 1→N→G→Q→1 with N=C22 and Q=C4○D20

Direct product G=N×Q with N=C22 and Q=C4○D20
dρLabelID
C22×C4○D20160C2^2xC4oD20320,1611

Semidirect products G=N:Q with N=C22 and Q=C4○D20
extensionφ:Q→Aut NdρLabelID
C22⋊1(C4○D20) = Dic10⋊23D4φ: C4○D20/Dic10 → C2 ⊆ Aut C22160C2^2:1(C4oD20)320,1224
C22⋊2(C4○D20) = C42⋊12D10φ: C4○D20/C4×D5 → C2 ⊆ Aut C2280C2^2:2(C4oD20)320,1219
C22⋊3(C4○D20) = D20⋊23D4φ: C4○D20/D20 → C2 ⊆ Aut C2280C2^2:3(C4oD20)320,1222
C22⋊4(C4○D20) = C24.27D10φ: C4○D20/C5⋊D4 → C2 ⊆ Aut C2280C2^2:4(C4oD20)320,1162
C22⋊5(C4○D20) = C24.72D10φ: C4○D20/C2×C20 → C2 ⊆ Aut C2280C2^2:5(C4oD20)320,1463

Non-split extensions G=N.Q with N=C22 and Q=C4○D20
extensionφ:Q→Aut NdρLabelID
C22.1(C4○D20) = C42.104D10φ: C4○D20/Dic10 → C2 ⊆ Aut C22160C2^2.1(C4oD20)320,1212
C22.2(C4○D20) = C42.119D10φ: C4○D20/Dic10 → C2 ⊆ Aut C22160C2^2.2(C4oD20)320,1237
C22.3(C4○D20) = C40.93D4φ: C4○D20/C4×D5 → C2 ⊆ Aut C22804C2^2.3(C4oD20)320,771
C22.4(C4○D20) = C40.50D4φ: C4○D20/C4×D5 → C2 ⊆ Aut C22804C2^2.4(C4oD20)320,772
C22.5(C4○D20) = C42.102D10φ: C4○D20/C4×D5 → C2 ⊆ Aut C22160C2^2.5(C4oD20)320,1210
C22.6(C4○D20) = C42⋊17D10φ: C4○D20/C4×D5 → C2 ⊆ Aut C2280C2^2.6(C4oD20)320,1232
C22.7(C4○D20) = C42.118D10φ: C4○D20/C4×D5 → C2 ⊆ Aut C22160C2^2.7(C4oD20)320,1236
C22.8(C4○D20) = D4.3D20φ: C4○D20/D20 → C2 ⊆ Aut C22804C2^2.8(C4oD20)320,768
C22.9(C4○D20) = D4.4D20φ: C4○D20/D20 → C2 ⊆ Aut C22804+C2^2.9(C4oD20)320,769
C22.10(C4○D20) = D4.5D20φ: C4○D20/D20 → C2 ⊆ Aut C221604-C2^2.10(C4oD20)320,770
C22.11(C4○D20) = C42.105D10φ: C4○D20/D20 → C2 ⊆ Aut C22160C2^2.11(C4oD20)320,1213
C22.12(C4○D20) = C42⋊16D10φ: C4○D20/D20 → C2 ⊆ Aut C2280C2^2.12(C4oD20)320,1228
C22.13(C4○D20) = D20.2D4φ: C4○D20/C5⋊D4 → C2 ⊆ Aut C22808-C2^2.13(C4oD20)320,375
C22.14(C4○D20) = D20.3D4φ: C4○D20/C5⋊D4 → C2 ⊆ Aut C22808+C2^2.14(C4oD20)320,376
C22.15(C4○D20) = D20.6D4φ: C4○D20/C5⋊D4 → C2 ⊆ Aut C22808+C2^2.15(C4oD20)320,381
C22.16(C4○D20) = D20.7D4φ: C4○D20/C5⋊D4 → C2 ⊆ Aut C221608-C2^2.16(C4oD20)320,382
C22.17(C4○D20) = C24.31D10φ: C4○D20/C5⋊D4 → C2 ⊆ Aut C2280C2^2.17(C4oD20)320,1167
C22.18(C4○D20) = C42⋊10D10φ: C4○D20/C5⋊D4 → C2 ⊆ Aut C2280C2^2.18(C4oD20)320,1199
C22.19(C4○D20) = C42.96D10φ: C4○D20/C5⋊D4 → C2 ⊆ Aut C22160C2^2.19(C4oD20)320,1203
C22.20(C4○D20) = D40⋊17C4φ: C4○D20/C2×C20 → C2 ⊆ Aut C22802C2^2.20(C4oD20)320,327
C22.21(C4○D20) = D40⋊10C4φ: C4○D20/C2×C20 → C2 ⊆ Aut C22804C2^2.21(C4oD20)320,344
C22.22(C4○D20) = C42.277D10φ: C4○D20/C2×C20 → C2 ⊆ Aut C22160C2^2.22(C4oD20)320,1151
C22.23(C4○D20) = C24.30D10φ: C4○D20/C2×C20 → C2 ⊆ Aut C2280C2^2.23(C4oD20)320,1166
C22.24(C4○D20) = C10.62- 1+4φ: C4○D20/C2×C20 → C2 ⊆ Aut C22160C2^2.24(C4oD20)320,1187
C22.25(C4○D20) = (C2×C20)⋊Q8central extension (φ=1)320C2^2.25(C4oD20)320,273
C22.26(C4○D20) = C10.49(C4×D4)central extension (φ=1)320C2^2.26(C4oD20)320,274
C22.27(C4○D20) = C5⋊2(C42⋊8C4)central extension (φ=1)320C2^2.27(C4oD20)320,277
C22.28(C4○D20) = C5⋊2(C42⋊5C4)central extension (φ=1)320C2^2.28(C4oD20)320,278
C22.29(C4○D20) = C10.51(C4×D4)central extension (φ=1)320C2^2.29(C4oD20)320,279
C22.30(C4○D20) = C2.(C4×D20)central extension (φ=1)320C2^2.30(C4oD20)320,280
C22.31(C4○D20) = C4⋊Dic5⋊15C4central extension (φ=1)320C2^2.31(C4oD20)320,281
C22.32(C4○D20) = C10.52(C4×D4)central extension (φ=1)320C2^2.32(C4oD20)320,282
C22.33(C4○D20) = C22.58(D4×D5)central extension (φ=1)160C2^2.33(C4oD20)320,291
C22.34(C4○D20) = (C2×C4)⋊9D20central extension (φ=1)160C2^2.34(C4oD20)320,292
C22.35(C4○D20) = D10⋊2(C4⋊C4)central extension (φ=1)160C2^2.35(C4oD20)320,294
C22.36(C4○D20) = D10⋊3(C4⋊C4)central extension (φ=1)160C2^2.36(C4oD20)320,295
C22.37(C4○D20) = C10.54(C4×D4)central extension (φ=1)160C2^2.37(C4oD20)320,296
C22.38(C4○D20) = C10.55(C4×D4)central extension (φ=1)160C2^2.38(C4oD20)320,297
C22.39(C4○D20) = C20⋊7(C4⋊C4)central extension (φ=1)320C2^2.39(C4oD20)320,555
C22.40(C4○D20) = (C2×C20)⋊10Q8central extension (φ=1)320C2^2.40(C4oD20)320,556
C22.41(C4○D20) = C4×C10.D4central extension (φ=1)320C2^2.41(C4oD20)320,558
C22.42(C4○D20) = C42⋊4Dic5central extension (φ=1)320C2^2.42(C4oD20)320,559
C22.43(C4○D20) = C10.92(C4×D4)central extension (φ=1)320C2^2.43(C4oD20)320,560
C22.44(C4○D20) = C4×C4⋊Dic5central extension (φ=1)320C2^2.44(C4oD20)320,561
C22.45(C4○D20) = C42⋊9Dic5central extension (φ=1)320C2^2.45(C4oD20)320,563
C22.46(C4○D20) = C42⋊5Dic5central extension (φ=1)320C2^2.46(C4oD20)320,564
C22.47(C4○D20) = C4×D10⋊C4central extension (φ=1)160C2^2.47(C4oD20)320,565
C22.48(C4○D20) = (C2×C4)⋊6D20central extension (φ=1)160C2^2.48(C4oD20)320,566
C22.49(C4○D20) = (C2×C42)⋊D5central extension (φ=1)160C2^2.49(C4oD20)320,567
C22.50(C4○D20) = C24.3D10central extension (φ=1)160C2^2.50(C4oD20)320,571
C22.51(C4○D20) = C24.4D10central extension (φ=1)160C2^2.51(C4oD20)320,572
C22.52(C4○D20) = C24.8D10central extension (φ=1)160C2^2.52(C4oD20)320,578
C22.53(C4○D20) = C24.12D10central extension (φ=1)160C2^2.53(C4oD20)320,583
C22.54(C4○D20) = C24.13D10central extension (φ=1)160C2^2.54(C4oD20)320,584
C22.55(C4○D20) = C10.96(C4×D4)central extension (φ=1)320C2^2.55(C4oD20)320,599
C22.56(C4○D20) = C10.97(C4×D4)central extension (φ=1)320C2^2.56(C4oD20)320,605
C22.57(C4○D20) = C4⋊C4⋊5Dic5central extension (φ=1)320C2^2.57(C4oD20)320,608
C22.58(C4○D20) = D10⋊5(C4⋊C4)central extension (φ=1)160C2^2.58(C4oD20)320,616
C22.59(C4○D20) = C10.90(C4×D4)central extension (φ=1)160C2^2.59(C4oD20)320,617
C22.60(C4○D20) = C4×C23.D5central extension (φ=1)160C2^2.60(C4oD20)320,836
C22.61(C4○D20) = C24.62D10central extension (φ=1)160C2^2.61(C4oD20)320,837
C22.62(C4○D20) = C24.63D10central extension (φ=1)160C2^2.62(C4oD20)320,838
C22.63(C4○D20) = C24.64D10central extension (φ=1)160C2^2.63(C4oD20)320,839
C22.64(C4○D20) = C24.65D10central extension (φ=1)160C2^2.64(C4oD20)320,840
C22.65(C4○D20) = C2×C4×Dic10central extension (φ=1)320C2^2.65(C4oD20)320,1139
C22.66(C4○D20) = C2×C20.6Q8central extension (φ=1)320C2^2.66(C4oD20)320,1141
C22.67(C4○D20) = C2×C42⋊D5central extension (φ=1)160C2^2.67(C4oD20)320,1144
C22.68(C4○D20) = C2×C4×D20central extension (φ=1)160C2^2.68(C4oD20)320,1145
C22.69(C4○D20) = C2×C4.D20central extension (φ=1)160C2^2.69(C4oD20)320,1148
C22.70(C4○D20) = C2×C42⋊2D5central extension (φ=1)160C2^2.70(C4oD20)320,1150
C22.71(C4○D20) = C2×C23.D10central extension (φ=1)160C2^2.71(C4oD20)320,1154
C22.72(C4○D20) = C2×D10.12D4central extension (φ=1)160C2^2.72(C4oD20)320,1160
C22.73(C4○D20) = C2×D10⋊D4central extension (φ=1)160C2^2.73(C4oD20)320,1161
C22.74(C4○D20) = C2×Dic5.5D4central extension (φ=1)160C2^2.74(C4oD20)320,1163
C22.75(C4○D20) = C2×Dic5.Q8central extension (φ=1)320C2^2.75(C4oD20)320,1170
C22.76(C4○D20) = C2×D10.13D4central extension (φ=1)160C2^2.76(C4oD20)320,1177
C22.77(C4○D20) = C2×D10⋊Q8central extension (φ=1)160C2^2.77(C4oD20)320,1180
C22.78(C4○D20) = C2×C4⋊C4⋊D5central extension (φ=1)160C2^2.78(C4oD20)320,1184
C22.79(C4○D20) = C2×C20.48D4central extension (φ=1)160C2^2.79(C4oD20)320,1456
C22.80(C4○D20) = C2×C23.21D10central extension (φ=1)160C2^2.80(C4oD20)320,1458
C22.81(C4○D20) = C2×C4×C5⋊D4central extension (φ=1)160C2^2.81(C4oD20)320,1460
C22.82(C4○D20) = C2×C23.23D10central extension (φ=1)160C2^2.82(C4oD20)320,1461
C22.83(C4○D20) = C2×C20⋊7D4central extension (φ=1)160C2^2.83(C4oD20)320,1462
C22.84(C4○D20) = C2.(C20⋊Q8)central stem extension (φ=1)320C2^2.84(C4oD20)320,284
C22.85(C4○D20) = (C2×Dic5).Q8central stem extension (φ=1)320C2^2.85(C4oD20)320,285
C22.86(C4○D20) = (C2×C20).28D4central stem extension (φ=1)320C2^2.86(C4oD20)320,286
C22.87(C4○D20) = (C2×C4).Dic10central stem extension (φ=1)320C2^2.87(C4oD20)320,287
C22.88(C4○D20) = (C22×C4).D10central stem extension (φ=1)320C2^2.88(C4oD20)320,289
C22.89(C4○D20) = (C2×Dic5)⋊3D4central stem extension (φ=1)160C2^2.89(C4oD20)320,299
C22.90(C4○D20) = (C2×C4).20D20central stem extension (φ=1)160C2^2.90(C4oD20)320,300
C22.91(C4○D20) = (C2×C4).21D20central stem extension (φ=1)160C2^2.91(C4oD20)320,301
C22.92(C4○D20) = C10.(C4⋊D4)central stem extension (φ=1)160C2^2.92(C4oD20)320,302
C22.93(C4○D20) = (C22×D5).Q8central stem extension (φ=1)160C2^2.93(C4oD20)320,303
C22.94(C4○D20) = C23⋊Dic10central stem extension (φ=1)160C2^2.94(C4oD20)320,574
C22.95(C4○D20) = C24.6D10central stem extension (φ=1)160C2^2.95(C4oD20)320,575
C22.96(C4○D20) = C24.7D10central stem extension (φ=1)160C2^2.96(C4oD20)320,576
C22.97(C4○D20) = C24.9D10central stem extension (φ=1)160C2^2.97(C4oD20)320,579
C22.98(C4○D20) = C23.14D20central stem extension (φ=1)160C2^2.98(C4oD20)320,580
C22.99(C4○D20) = C24.14D10central stem extension (φ=1)160C2^2.99(C4oD20)320,586
C22.100(C4○D20) = C23⋊2D20central stem extension (φ=1)160C2^2.100(C4oD20)320,587
C22.101(C4○D20) = C24.16D10central stem extension (φ=1)160C2^2.101(C4oD20)320,588
C22.102(C4○D20) = (C2×C4)⋊Dic10central stem extension (φ=1)320C2^2.102(C4oD20)320,606
C22.103(C4○D20) = (C2×C20).287D4central stem extension (φ=1)320C2^2.103(C4oD20)320,607
C22.104(C4○D20) = (C2×C20).288D4central stem extension (φ=1)320C2^2.104(C4oD20)320,609
C22.105(C4○D20) = (C2×C20).53D4central stem extension (φ=1)320C2^2.105(C4oD20)320,610
C22.106(C4○D20) = (C2×C20).54D4central stem extension (φ=1)320C2^2.106(C4oD20)320,611
C22.107(C4○D20) = (C2×C20).55D4central stem extension (φ=1)320C2^2.107(C4oD20)320,613
C22.108(C4○D20) = (C2×C4)⋊3D20central stem extension (φ=1)160C2^2.108(C4oD20)320,618
C22.109(C4○D20) = (C2×C20).289D4central stem extension (φ=1)160C2^2.109(C4oD20)320,619
C22.110(C4○D20) = (C2×C20).290D4central stem extension (φ=1)160C2^2.110(C4oD20)320,620
C22.111(C4○D20) = (C2×C20).56D4central stem extension (φ=1)160C2^2.111(C4oD20)320,621

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