Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
x
:
.
o
wr

Extensions 1→N→G→Q→1 with N=C22 and Q=C2xD20

Direct product G=NxQ with N=C22 and Q=C2xD20
dρLabelID
C23xD20160C2^3xD20320,1610

Semidirect products G=N:Q with N=C22 and Q=C2xD20
extensionφ:Q→Aut NdρLabelID
C22:1(C2xD20) = D4xD20φ: C2xD20/D20 → C2 ⊆ Aut C2280C2^2:1(C2xD20)320,1221
C22:2(C2xD20) = C2xC20:7D4φ: C2xD20/C2xC20 → C2 ⊆ Aut C22160C2^2:2(C2xD20)320,1462
C22:3(C2xD20) = C2xC22:D20φ: C2xD20/C22xD5 → C2 ⊆ Aut C2280C2^2:3(C2xD20)320,1159

Non-split extensions G=N.Q with N=C22 and Q=C2xD20
extensionφ:Q→Aut NdρLabelID
C22.1(C2xD20) = D4:5D20φ: C2xD20/D20 → C2 ⊆ Aut C2280C2^2.1(C2xD20)320,1226
C22.2(C2xD20) = D4:6D20φ: C2xD20/D20 → C2 ⊆ Aut C22160C2^2.2(C2xD20)320,1227
C22.3(C2xD20) = D4.11D20φ: C2xD20/D20 → C2 ⊆ Aut C22804C2^2.3(C2xD20)320,1423
C22.4(C2xD20) = D4.12D20φ: C2xD20/D20 → C2 ⊆ Aut C22804+C2^2.4(C2xD20)320,1424
C22.5(C2xD20) = D4.13D20φ: C2xD20/D20 → C2 ⊆ Aut C221604-C2^2.5(C2xD20)320,1425
C22.6(C2xD20) = C42.276D10φ: C2xD20/C2xC20 → C2 ⊆ Aut C22160C2^2.6(C2xD20)320,1149
C22.7(C2xD20) = C10.2+ 1+4φ: C2xD20/C2xC20 → C2 ⊆ Aut C22160C2^2.7(C2xD20)320,1182
C22.8(C2xD20) = C23:D20φ: C2xD20/C22xD5 → C2 ⊆ Aut C22408+C2^2.8(C2xD20)320,368
C22.9(C2xD20) = C23.5D20φ: C2xD20/C22xD5 → C2 ⊆ Aut C22808-C2^2.9(C2xD20)320,369
C22.10(C2xD20) = D20.1D4φ: C2xD20/C22xD5 → C2 ⊆ Aut C22808-C2^2.10(C2xD20)320,373
C22.11(C2xD20) = D20:1D4φ: C2xD20/C22xD5 → C2 ⊆ Aut C22408+C2^2.11(C2xD20)320,374
C22.12(C2xD20) = D20.4D4φ: C2xD20/C22xD5 → C2 ⊆ Aut C22808-C2^2.12(C2xD20)320,379
C22.13(C2xD20) = D20.5D4φ: C2xD20/C22xD5 → C2 ⊆ Aut C22808+C2^2.13(C2xD20)320,380
C22.14(C2xD20) = C2xC23.1D10φ: C2xD20/C22xD5 → C2 ⊆ Aut C2280C2^2.14(C2xD20)320,581
C22.15(C2xD20) = (C2xD20):25C4φ: C2xD20/C22xD5 → C2 ⊆ Aut C22804C2^2.15(C2xD20)320,633
C22.16(C2xD20) = C2xD20:7C4φ: C2xD20/C22xD5 → C2 ⊆ Aut C2280C2^2.16(C2xD20)320,765
C22.17(C2xD20) = C23.20D20φ: C2xD20/C22xD5 → C2 ⊆ Aut C22804C2^2.17(C2xD20)320,766
C22.18(C2xD20) = C23:3D20φ: C2xD20/C22xD5 → C2 ⊆ Aut C2280C2^2.18(C2xD20)320,1165
C22.19(C2xD20) = C42:8D10φ: C2xD20/C22xD5 → C2 ⊆ Aut C2280C2^2.19(C2xD20)320,1196
C22.20(C2xD20) = C42:9D10φ: C2xD20/C22xD5 → C2 ⊆ Aut C2280C2^2.20(C2xD20)320,1197
C22.21(C2xD20) = C42.92D10φ: C2xD20/C22xD5 → C2 ⊆ Aut C22160C2^2.21(C2xD20)320,1198
C22.22(C2xD20) = C40.9C23φ: C2xD20/C22xD5 → C2 ⊆ Aut C22804C2^2.22(C2xD20)320,1420
C22.23(C2xD20) = C2.(C4xD20)central extension (φ=1)320C2^2.23(C2xD20)320,280
C22.24(C2xD20) = (C2xC4):9D20central extension (φ=1)160C2^2.24(C2xD20)320,292
C22.25(C2xD20) = D10:3(C4:C4)central extension (φ=1)160C2^2.25(C2xD20)320,295
C22.26(C2xD20) = C10.55(C4xD4)central extension (φ=1)160C2^2.26(C2xD20)320,297
C22.27(C2xD20) = C4xC40:C2central extension (φ=1)160C2^2.27(C2xD20)320,318
C22.28(C2xD20) = C4xD40central extension (φ=1)160C2^2.28(C2xD20)320,319
C22.29(C2xD20) = C4xDic20central extension (φ=1)320C2^2.29(C2xD20)320,325
C22.30(C2xD20) = C42.16D10central extension (φ=1)160C2^2.30(C2xD20)320,337
C22.31(C2xD20) = D40:9C4central extension (φ=1)160C2^2.31(C2xD20)320,338
C22.32(C2xD20) = Dic20:9C4central extension (φ=1)320C2^2.32(C2xD20)320,343
C22.33(C2xD20) = C20:7(C4:C4)central extension (φ=1)320C2^2.33(C2xD20)320,555
C22.34(C2xD20) = (C2xC20):10Q8central extension (φ=1)320C2^2.34(C2xD20)320,556
C22.35(C2xD20) = C4xC4:Dic5central extension (φ=1)320C2^2.35(C2xD20)320,561
C22.36(C2xD20) = C42:8Dic5central extension (φ=1)320C2^2.36(C2xD20)320,562
C22.37(C2xD20) = C42:9Dic5central extension (φ=1)320C2^2.37(C2xD20)320,563
C22.38(C2xD20) = C4xD10:C4central extension (φ=1)160C2^2.38(C2xD20)320,565
C22.39(C2xD20) = (C2xC4):6D20central extension (φ=1)160C2^2.39(C2xD20)320,566
C22.40(C2xD20) = (C2xC42):D5central extension (φ=1)160C2^2.40(C2xD20)320,567
C22.41(C2xD20) = C23.42D20central extension (φ=1)160C2^2.41(C2xD20)320,570
C22.42(C2xD20) = C24.47D10central extension (φ=1)160C2^2.42(C2xD20)320,577
C22.43(C2xD20) = C24.48D10central extension (φ=1)80C2^2.43(C2xD20)320,582
C22.44(C2xD20) = C23.45D20central extension (φ=1)160C2^2.44(C2xD20)320,585
C22.45(C2xD20) = (C2xDic5):6Q8central extension (φ=1)320C2^2.45(C2xD20)320,601
C22.46(C2xD20) = C20:6(C4:C4)central extension (φ=1)320C2^2.46(C2xD20)320,612
C22.47(C2xD20) = D10:4(C4:C4)central extension (φ=1)160C2^2.47(C2xD20)320,614
C22.48(C2xD20) = (C2xD20):22C4central extension (φ=1)160C2^2.48(C2xD20)320,615
C22.49(C2xD20) = C2xC20.44D4central extension (φ=1)320C2^2.49(C2xD20)320,730
C22.50(C2xD20) = C2xC40:6C4central extension (φ=1)320C2^2.50(C2xD20)320,731
C22.51(C2xD20) = C2xC40:5C4central extension (φ=1)320C2^2.51(C2xD20)320,732
C22.52(C2xD20) = C23.22D20central extension (φ=1)160C2^2.52(C2xD20)320,733
C22.53(C2xD20) = C2xD20:5C4central extension (φ=1)160C2^2.53(C2xD20)320,739
C22.54(C2xD20) = C23.23D20central extension (φ=1)160C2^2.54(C2xD20)320,740
C22.55(C2xD20) = C23.46D20central extension (φ=1)160C2^2.55(C2xD20)320,747
C22.56(C2xD20) = C23.47D20central extension (φ=1)160C2^2.56(C2xD20)320,748
C22.57(C2xD20) = C23.48D20central extension (φ=1)80C2^2.57(C2xD20)320,758
C22.58(C2xD20) = C23.49D20central extension (φ=1)160C2^2.58(C2xD20)320,760
C22.59(C2xD20) = C2xC10.10C42central extension (φ=1)320C2^2.59(C2xD20)320,835
C22.60(C2xD20) = C24.64D10central extension (φ=1)160C2^2.60(C2xD20)320,839
C22.61(C2xD20) = C24.65D10central extension (φ=1)160C2^2.61(C2xD20)320,840
C22.62(C2xD20) = C2xC20:2Q8central extension (φ=1)320C2^2.62(C2xD20)320,1140
C22.63(C2xD20) = C2xC4xD20central extension (φ=1)160C2^2.63(C2xD20)320,1145
C22.64(C2xD20) = C2xC20:4D4central extension (φ=1)160C2^2.64(C2xD20)320,1147
C22.65(C2xD20) = C2xC4.D20central extension (φ=1)160C2^2.65(C2xD20)320,1148
C22.66(C2xD20) = C2xC22.D20central extension (φ=1)160C2^2.66(C2xD20)320,1164
C22.67(C2xD20) = C2xC4:D20central extension (φ=1)160C2^2.67(C2xD20)320,1178
C22.68(C2xD20) = C2xD10:2Q8central extension (φ=1)160C2^2.68(C2xD20)320,1181
C22.69(C2xD20) = C22xC40:C2central extension (φ=1)160C2^2.69(C2xD20)320,1411
C22.70(C2xD20) = C22xD40central extension (φ=1)160C2^2.70(C2xD20)320,1412
C22.71(C2xD20) = C2xD40:7C2central extension (φ=1)160C2^2.71(C2xD20)320,1413
C22.72(C2xD20) = C22xDic20central extension (φ=1)320C2^2.72(C2xD20)320,1414
C22.73(C2xD20) = C2xC8:D10central extension (φ=1)80C2^2.73(C2xD20)320,1418
C22.74(C2xD20) = C2xC8.D10central extension (φ=1)160C2^2.74(C2xD20)320,1419
C22.75(C2xD20) = C22xC4:Dic5central extension (φ=1)320C2^2.75(C2xD20)320,1457
C22.76(C2xD20) = C22xD10:C4central extension (φ=1)160C2^2.76(C2xD20)320,1459
C22.77(C2xD20) = (C2xDic5):Q8central stem extension (φ=1)320C2^2.77(C2xD20)320,283
C22.78(C2xD20) = (C2xC20).28D4central stem extension (φ=1)320C2^2.78(C2xD20)320,286
C22.79(C2xD20) = C10.(C4:Q8)central stem extension (φ=1)320C2^2.79(C2xD20)320,288
C22.80(C2xD20) = (C2xC20):5D4central stem extension (φ=1)160C2^2.80(C2xD20)320,298
C22.81(C2xD20) = (C2xDic5):3D4central stem extension (φ=1)160C2^2.81(C2xD20)320,299
C22.82(C2xD20) = (C2xC4).20D20central stem extension (φ=1)160C2^2.82(C2xD20)320,300
C22.83(C2xD20) = (C2xC4).21D20central stem extension (φ=1)160C2^2.83(C2xD20)320,301
C22.84(C2xD20) = (C2xC20).33D4central stem extension (φ=1)160C2^2.84(C2xD20)320,304
C22.85(C2xD20) = C40:9Q8central stem extension (φ=1)320C2^2.85(C2xD20)320,307
C22.86(C2xD20) = C20.14Q16central stem extension (φ=1)320C2^2.86(C2xD20)320,308
C22.87(C2xD20) = C40:8Q8central stem extension (φ=1)320C2^2.87(C2xD20)320,309
C22.88(C2xD20) = C40.13Q8central stem extension (φ=1)320C2^2.88(C2xD20)320,310
C22.89(C2xD20) = C8:5D20central stem extension (φ=1)160C2^2.89(C2xD20)320,320
C22.90(C2xD20) = C4.5D40central stem extension (φ=1)160C2^2.90(C2xD20)320,321
C22.91(C2xD20) = C20:4D8central stem extension (φ=1)160C2^2.91(C2xD20)320,322
C22.92(C2xD20) = C8.8D20central stem extension (φ=1)160C2^2.92(C2xD20)320,323
C22.93(C2xD20) = C42.264D10central stem extension (φ=1)160C2^2.93(C2xD20)320,324
C22.94(C2xD20) = C20:4Q16central stem extension (φ=1)320C2^2.94(C2xD20)320,326
C22.95(C2xD20) = C8:Dic10central stem extension (φ=1)320C2^2.95(C2xD20)320,329
C22.96(C2xD20) = C42.14D10central stem extension (φ=1)320C2^2.96(C2xD20)320,330
C22.97(C2xD20) = C8:D20central stem extension (φ=1)160C2^2.97(C2xD20)320,339
C22.98(C2xD20) = C42.19D10central stem extension (φ=1)160C2^2.98(C2xD20)320,340
C22.99(C2xD20) = C42.20D10central stem extension (φ=1)160C2^2.99(C2xD20)320,341
C22.100(C2xD20) = C8.D20central stem extension (φ=1)160C2^2.100(C2xD20)320,342
C22.101(C2xD20) = C23.34D20central stem extension (φ=1)160C2^2.101(C2xD20)320,348
C22.102(C2xD20) = C23.35D20central stem extension (φ=1)160C2^2.102(C2xD20)320,349
C22.103(C2xD20) = C23.10D20central stem extension (φ=1)160C2^2.103(C2xD20)320,350
C22.104(C2xD20) = D20.31D4central stem extension (φ=1)80C2^2.104(C2xD20)320,358
C22.105(C2xD20) = D20:13D4central stem extension (φ=1)80C2^2.105(C2xD20)320,359
C22.106(C2xD20) = D20.32D4central stem extension (φ=1)160C2^2.106(C2xD20)320,360
C22.107(C2xD20) = D20:14D4central stem extension (φ=1)160C2^2.107(C2xD20)320,361
C22.108(C2xD20) = C23.38D20central stem extension (φ=1)160C2^2.108(C2xD20)320,362
C22.109(C2xD20) = C22.D40central stem extension (φ=1)160C2^2.109(C2xD20)320,363
C22.110(C2xD20) = C23.13D20central stem extension (φ=1)160C2^2.110(C2xD20)320,364
C22.111(C2xD20) = Dic10:14D4central stem extension (φ=1)160C2^2.111(C2xD20)320,365
C22.112(C2xD20) = C22:Dic20central stem extension (φ=1)160C2^2.112(C2xD20)320,366
C22.113(C2xD20) = Dic10.3Q8central stem extension (φ=1)320C2^2.113(C2xD20)320,456
C22.114(C2xD20) = C20:SD16central stem extension (φ=1)160C2^2.114(C2xD20)320,468
C22.115(C2xD20) = D20:3Q8central stem extension (φ=1)160C2^2.115(C2xD20)320,469
C22.116(C2xD20) = C4:D40central stem extension (φ=1)160C2^2.116(C2xD20)320,470
C22.117(C2xD20) = D20.19D4central stem extension (φ=1)160C2^2.117(C2xD20)320,471
C22.118(C2xD20) = C42.36D10central stem extension (φ=1)160C2^2.118(C2xD20)320,472
C22.119(C2xD20) = D20:4Q8central stem extension (φ=1)160C2^2.119(C2xD20)320,473
C22.120(C2xD20) = D20.3Q8central stem extension (φ=1)160C2^2.120(C2xD20)320,474
C22.121(C2xD20) = Dic10:8D4central stem extension (φ=1)160C2^2.121(C2xD20)320,475
C22.122(C2xD20) = C4:Dic20central stem extension (φ=1)320C2^2.122(C2xD20)320,476
C22.123(C2xD20) = C20.7Q16central stem extension (φ=1)320C2^2.123(C2xD20)320,477
C22.124(C2xD20) = Dic10:4Q8central stem extension (φ=1)320C2^2.124(C2xD20)320,478
C22.125(C2xD20) = C23.14D20central stem extension (φ=1)160C2^2.125(C2xD20)320,580
C22.126(C2xD20) = C23:2D20central stem extension (φ=1)160C2^2.126(C2xD20)320,587
C22.127(C2xD20) = C24.16D10central stem extension (φ=1)160C2^2.127(C2xD20)320,588
C22.128(C2xD20) = (C2xC20).53D4central stem extension (φ=1)320C2^2.128(C2xD20)320,610
C22.129(C2xD20) = (C2xC4):3D20central stem extension (φ=1)160C2^2.129(C2xD20)320,618
C22.130(C2xD20) = (C2xC20).56D4central stem extension (φ=1)160C2^2.130(C2xD20)320,621
C22.131(C2xD20) = C40:30D4central stem extension (φ=1)160C2^2.131(C2xD20)320,741
C22.132(C2xD20) = C40:29D4central stem extension (φ=1)160C2^2.132(C2xD20)320,742
C22.133(C2xD20) = C40.82D4central stem extension (φ=1)160C2^2.133(C2xD20)320,743
C22.134(C2xD20) = C40:2D4central stem extension (φ=1)160C2^2.134(C2xD20)320,761
C22.135(C2xD20) = C40:3D4central stem extension (φ=1)160C2^2.135(C2xD20)320,762
C22.136(C2xD20) = C40.4D4central stem extension (φ=1)160C2^2.136(C2xD20)320,764

׿
x
:
Z
F
o
wr
Q
<