Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

Extensions 1→N→G→Q→1 with N=C22 and Q=C2×D12

Direct product G=N×Q with N=C22 and Q=C2×D12
dρLabelID
C23×D1296C2^3xD12192,1512

Semidirect products G=N:Q with N=C22 and Q=C2×D12
extensionφ:Q→Aut NdρLabelID
C22⋊(C2×D12) = C2×C4⋊S4φ: C2×D12/C2×C4 → S3 ⊆ Aut C2224C2^2:(C2xD12)192,1470
C22⋊2(C2×D12) = D4×D12φ: C2×D12/D12 → C2 ⊆ Aut C2248C2^2:2(C2xD12)192,1108
C22⋊3(C2×D12) = C2×C12⋊7D4φ: C2×D12/C2×C12 → C2 ⊆ Aut C2296C2^2:3(C2xD12)192,1349
C22⋊4(C2×D12) = C2×D6⋊D4φ: C2×D12/C22×S3 → C2 ⊆ Aut C2248C2^2:4(C2xD12)192,1046

Non-split extensions G=N.Q with N=C22 and Q=C2×D12
extensionφ:Q→Aut NdρLabelID
C22.1(C2×D12) = D4⋊5D12φ: C2×D12/D12 → C2 ⊆ Aut C2248C2^2.1(C2xD12)192,1113
C22.2(C2×D12) = D4⋊6D12φ: C2×D12/D12 → C2 ⊆ Aut C2296C2^2.2(C2xD12)192,1114
C22.3(C2×D12) = D4.11D12φ: C2×D12/D12 → C2 ⊆ Aut C22484C2^2.3(C2xD12)192,1310
C22.4(C2×D12) = D4.12D12φ: C2×D12/D12 → C2 ⊆ Aut C22484+C2^2.4(C2xD12)192,1311
C22.5(C2×D12) = D4.13D12φ: C2×D12/D12 → C2 ⊆ Aut C22964-C2^2.5(C2xD12)192,1312
C22.6(C2×D12) = C42.276D6φ: C2×D12/C2×C12 → C2 ⊆ Aut C2296C2^2.6(C2xD12)192,1036
C22.7(C2×D12) = C6.2+ 1+4φ: C2×D12/C2×C12 → C2 ⊆ Aut C2296C2^2.7(C2xD12)192,1069
C22.8(C2×D12) = C23⋊D12φ: C2×D12/C22×S3 → C2 ⊆ Aut C22248+C2^2.8(C2xD12)192,300
C22.9(C2×D12) = C23.5D12φ: C2×D12/C22×S3 → C2 ⊆ Aut C22488-C2^2.9(C2xD12)192,301
C22.10(C2×D12) = M4(2)⋊D6φ: C2×D12/C22×S3 → C2 ⊆ Aut C22488-C2^2.10(C2xD12)192,305
C22.11(C2×D12) = D12⋊1D4φ: C2×D12/C22×S3 → C2 ⊆ Aut C22248+C2^2.11(C2xD12)192,306
C22.12(C2×D12) = D12.4D4φ: C2×D12/C22×S3 → C2 ⊆ Aut C22488-C2^2.12(C2xD12)192,311
C22.13(C2×D12) = D12.5D4φ: C2×D12/C22×S3 → C2 ⊆ Aut C22488+C2^2.13(C2xD12)192,312
C22.14(C2×D12) = C2×C23.6D6φ: C2×D12/C22×S3 → C2 ⊆ Aut C2248C2^2.14(C2xD12)192,513
C22.15(C2×D12) = (C2×D12)⋊13C4φ: C2×D12/C22×S3 → C2 ⊆ Aut C22484C2^2.15(C2xD12)192,565
C22.16(C2×D12) = C2×D12⋊C4φ: C2×D12/C22×S3 → C2 ⊆ Aut C2248C2^2.16(C2xD12)192,697
C22.17(C2×D12) = M4(2)⋊24D6φ: C2×D12/C22×S3 → C2 ⊆ Aut C22484C2^2.17(C2xD12)192,698
C22.18(C2×D12) = C23⋊4D12φ: C2×D12/C22×S3 → C2 ⊆ Aut C2248C2^2.18(C2xD12)192,1052
C22.19(C2×D12) = C42⋊10D6φ: C2×D12/C22×S3 → C2 ⊆ Aut C2248C2^2.19(C2xD12)192,1083
C22.20(C2×D12) = C42⋊11D6φ: C2×D12/C22×S3 → C2 ⊆ Aut C2248C2^2.20(C2xD12)192,1084
C22.21(C2×D12) = C42.92D6φ: C2×D12/C22×S3 → C2 ⊆ Aut C2296C2^2.21(C2xD12)192,1085
C22.22(C2×D12) = C24.9C23φ: C2×D12/C22×S3 → C2 ⊆ Aut C22484C2^2.22(C2xD12)192,1307
C22.23(C2×D12) = C2.(C4×D12)central extension (φ=1)192C2^2.23(C2xD12)192,212
C22.24(C2×D12) = (C2×C4)⋊9D12central extension (φ=1)96C2^2.24(C2xD12)192,224
C22.25(C2×D12) = D6⋊C4⋊C4central extension (φ=1)96C2^2.25(C2xD12)192,227
C22.26(C2×D12) = D6⋊C4⋊3C4central extension (φ=1)96C2^2.26(C2xD12)192,229
C22.27(C2×D12) = C4×C24⋊C2central extension (φ=1)96C2^2.27(C2xD12)192,250
C22.28(C2×D12) = C4×D24central extension (φ=1)96C2^2.28(C2xD12)192,251
C22.29(C2×D12) = C4×Dic12central extension (φ=1)192C2^2.29(C2xD12)192,257
C22.30(C2×D12) = C42.16D6central extension (φ=1)96C2^2.30(C2xD12)192,269
C22.31(C2×D12) = D24⋊C4central extension (φ=1)96C2^2.31(C2xD12)192,270
C22.32(C2×D12) = Dic12⋊C4central extension (φ=1)192C2^2.32(C2xD12)192,275
C22.33(C2×D12) = C12⋊4(C4⋊C4)central extension (φ=1)192C2^2.33(C2xD12)192,487
C22.34(C2×D12) = (C2×Dic6)⋊7C4central extension (φ=1)192C2^2.34(C2xD12)192,488
C22.35(C2×D12) = C4×C4⋊Dic3central extension (φ=1)192C2^2.35(C2xD12)192,493
C22.36(C2×D12) = C42⋊10Dic3central extension (φ=1)192C2^2.36(C2xD12)192,494
C22.37(C2×D12) = C42⋊11Dic3central extension (φ=1)192C2^2.37(C2xD12)192,495
C22.38(C2×D12) = C4×D6⋊C4central extension (φ=1)96C2^2.38(C2xD12)192,497
C22.39(C2×D12) = (C2×C4)⋊6D12central extension (φ=1)96C2^2.39(C2xD12)192,498
C22.40(C2×D12) = (C2×C42)⋊3S3central extension (φ=1)96C2^2.40(C2xD12)192,499
C22.41(C2×D12) = C24.56D6central extension (φ=1)96C2^2.41(C2xD12)192,502
C22.42(C2×D12) = C24.58D6central extension (φ=1)96C2^2.42(C2xD12)192,509
C22.43(C2×D12) = C24.59D6central extension (φ=1)48C2^2.43(C2xD12)192,514
C22.44(C2×D12) = C24.60D6central extension (φ=1)96C2^2.44(C2xD12)192,517
C22.45(C2×D12) = C4.(D6⋊C4)central extension (φ=1)192C2^2.45(C2xD12)192,532
C22.46(C2×D12) = C4⋊C4⋊6Dic3central extension (φ=1)192C2^2.46(C2xD12)192,543
C22.47(C2×D12) = C4⋊(D6⋊C4)central extension (φ=1)96C2^2.47(C2xD12)192,546
C22.48(C2×D12) = (C2×D12)⋊10C4central extension (φ=1)96C2^2.48(C2xD12)192,547
C22.49(C2×D12) = C2×C2.Dic12central extension (φ=1)192C2^2.49(C2xD12)192,662
C22.50(C2×D12) = C2×C8⋊Dic3central extension (φ=1)192C2^2.50(C2xD12)192,663
C22.51(C2×D12) = C2×C24⋊1C4central extension (φ=1)192C2^2.51(C2xD12)192,664
C22.52(C2×D12) = C23.27D12central extension (φ=1)96C2^2.52(C2xD12)192,665
C22.53(C2×D12) = C2×C2.D24central extension (φ=1)96C2^2.53(C2xD12)192,671
C22.54(C2×D12) = C23.28D12central extension (φ=1)96C2^2.54(C2xD12)192,672
C22.55(C2×D12) = C23.51D12central extension (φ=1)96C2^2.55(C2xD12)192,679
C22.56(C2×D12) = C23.52D12central extension (φ=1)96C2^2.56(C2xD12)192,680
C22.57(C2×D12) = C23.53D12central extension (φ=1)48C2^2.57(C2xD12)192,690
C22.58(C2×D12) = C23.54D12central extension (φ=1)96C2^2.58(C2xD12)192,692
C22.59(C2×D12) = C2×C6.C42central extension (φ=1)192C2^2.59(C2xD12)192,767
C22.60(C2×D12) = C24.75D6central extension (φ=1)96C2^2.60(C2xD12)192,771
C22.61(C2×D12) = C24.76D6central extension (φ=1)96C2^2.61(C2xD12)192,772
C22.62(C2×D12) = C2×C12⋊2Q8central extension (φ=1)192C2^2.62(C2xD12)192,1027
C22.63(C2×D12) = C2×C4×D12central extension (φ=1)96C2^2.63(C2xD12)192,1032
C22.64(C2×D12) = C2×C4⋊D12central extension (φ=1)96C2^2.64(C2xD12)192,1034
C22.65(C2×D12) = C2×C42⋊7S3central extension (φ=1)96C2^2.65(C2xD12)192,1035
C22.66(C2×D12) = C2×C23.21D6central extension (φ=1)96C2^2.66(C2xD12)192,1051
C22.67(C2×D12) = C2×C12⋊D4central extension (φ=1)96C2^2.67(C2xD12)192,1065
C22.68(C2×D12) = C2×C4.D12central extension (φ=1)96C2^2.68(C2xD12)192,1068
C22.69(C2×D12) = C22×C24⋊C2central extension (φ=1)96C2^2.69(C2xD12)192,1298
C22.70(C2×D12) = C22×D24central extension (φ=1)96C2^2.70(C2xD12)192,1299
C22.71(C2×D12) = C2×C4○D24central extension (φ=1)96C2^2.71(C2xD12)192,1300
C22.72(C2×D12) = C22×Dic12central extension (φ=1)192C2^2.72(C2xD12)192,1301
C22.73(C2×D12) = C2×C8⋊D6central extension (φ=1)48C2^2.73(C2xD12)192,1305
C22.74(C2×D12) = C2×C8.D6central extension (φ=1)96C2^2.74(C2xD12)192,1306
C22.75(C2×D12) = C22×C4⋊Dic3central extension (φ=1)192C2^2.75(C2xD12)192,1344
C22.76(C2×D12) = C22×D6⋊C4central extension (φ=1)96C2^2.76(C2xD12)192,1346
C22.77(C2×D12) = (C2×C4)⋊Dic6central stem extension (φ=1)192C2^2.77(C2xD12)192,215
C22.78(C2×D12) = (C2×C4).17D12central stem extension (φ=1)192C2^2.78(C2xD12)192,218
C22.79(C2×D12) = (C22×C4).85D6central stem extension (φ=1)192C2^2.79(C2xD12)192,220
C22.80(C2×D12) = (C2×C12)⋊5D4central stem extension (φ=1)96C2^2.80(C2xD12)192,230
C22.81(C2×D12) = C6.C22≀C2central stem extension (φ=1)96C2^2.81(C2xD12)192,231
C22.82(C2×D12) = (C22×S3)⋊Q8central stem extension (φ=1)96C2^2.82(C2xD12)192,232
C22.83(C2×D12) = (C2×C4).21D12central stem extension (φ=1)96C2^2.83(C2xD12)192,233
C22.84(C2×D12) = (C2×C12).33D4central stem extension (φ=1)96C2^2.84(C2xD12)192,236
C22.85(C2×D12) = C24⋊9Q8central stem extension (φ=1)192C2^2.85(C2xD12)192,239
C22.86(C2×D12) = C12.14Q16central stem extension (φ=1)192C2^2.86(C2xD12)192,240
C22.87(C2×D12) = C24⋊8Q8central stem extension (φ=1)192C2^2.87(C2xD12)192,241
C22.88(C2×D12) = C24.13Q8central stem extension (φ=1)192C2^2.88(C2xD12)192,242
C22.89(C2×D12) = C8⋊5D12central stem extension (φ=1)96C2^2.89(C2xD12)192,252
C22.90(C2×D12) = C4.5D24central stem extension (φ=1)96C2^2.90(C2xD12)192,253
C22.91(C2×D12) = C12⋊4D8central stem extension (φ=1)96C2^2.91(C2xD12)192,254
C22.92(C2×D12) = C8.8D12central stem extension (φ=1)96C2^2.92(C2xD12)192,255
C22.93(C2×D12) = C42.264D6central stem extension (φ=1)96C2^2.93(C2xD12)192,256
C22.94(C2×D12) = C12⋊4Q16central stem extension (φ=1)192C2^2.94(C2xD12)192,258
C22.95(C2×D12) = C8⋊Dic6central stem extension (φ=1)192C2^2.95(C2xD12)192,261
C22.96(C2×D12) = C42.14D6central stem extension (φ=1)192C2^2.96(C2xD12)192,262
C22.97(C2×D12) = C8⋊D12central stem extension (φ=1)96C2^2.97(C2xD12)192,271
C22.98(C2×D12) = C42.19D6central stem extension (φ=1)96C2^2.98(C2xD12)192,272
C22.99(C2×D12) = C42.20D6central stem extension (φ=1)96C2^2.99(C2xD12)192,273
C22.100(C2×D12) = C8.D12central stem extension (φ=1)96C2^2.100(C2xD12)192,274
C22.101(C2×D12) = C23.39D12central stem extension (φ=1)96C2^2.101(C2xD12)192,280
C22.102(C2×D12) = C23.40D12central stem extension (φ=1)96C2^2.102(C2xD12)192,281
C22.103(C2×D12) = C23.15D12central stem extension (φ=1)96C2^2.103(C2xD12)192,282
C22.104(C2×D12) = D12.31D4central stem extension (φ=1)48C2^2.104(C2xD12)192,290
C22.105(C2×D12) = D12⋊13D4central stem extension (φ=1)48C2^2.105(C2xD12)192,291
C22.106(C2×D12) = D12.32D4central stem extension (φ=1)96C2^2.106(C2xD12)192,292
C22.107(C2×D12) = D12⋊14D4central stem extension (φ=1)96C2^2.107(C2xD12)192,293
C22.108(C2×D12) = C23.43D12central stem extension (φ=1)96C2^2.108(C2xD12)192,294
C22.109(C2×D12) = C22.D24central stem extension (φ=1)96C2^2.109(C2xD12)192,295
C22.110(C2×D12) = C23.18D12central stem extension (φ=1)96C2^2.110(C2xD12)192,296
C22.111(C2×D12) = Dic6⋊14D4central stem extension (φ=1)96C2^2.111(C2xD12)192,297
C22.112(C2×D12) = Dic6.32D4central stem extension (φ=1)96C2^2.112(C2xD12)192,298
C22.113(C2×D12) = Dic6.3Q8central stem extension (φ=1)192C2^2.113(C2xD12)192,388
C22.114(C2×D12) = C12⋊SD16central stem extension (φ=1)96C2^2.114(C2xD12)192,400
C22.115(C2×D12) = D12⋊3Q8central stem extension (φ=1)96C2^2.115(C2xD12)192,401
C22.116(C2×D12) = C4⋊D24central stem extension (φ=1)96C2^2.116(C2xD12)192,402
C22.117(C2×D12) = D12.19D4central stem extension (φ=1)96C2^2.117(C2xD12)192,403
C22.118(C2×D12) = C42.36D6central stem extension (φ=1)96C2^2.118(C2xD12)192,404
C22.119(C2×D12) = D12⋊4Q8central stem extension (φ=1)96C2^2.119(C2xD12)192,405
C22.120(C2×D12) = D12.3Q8central stem extension (φ=1)96C2^2.120(C2xD12)192,406
C22.121(C2×D12) = Dic6⋊8D4central stem extension (φ=1)96C2^2.121(C2xD12)192,407
C22.122(C2×D12) = C4⋊Dic12central stem extension (φ=1)192C2^2.122(C2xD12)192,408
C22.123(C2×D12) = Dic6⋊3Q8central stem extension (φ=1)192C2^2.123(C2xD12)192,409
C22.124(C2×D12) = Dic6⋊4Q8central stem extension (φ=1)192C2^2.124(C2xD12)192,410
C22.125(C2×D12) = C24.21D6central stem extension (φ=1)96C2^2.125(C2xD12)192,512
C22.126(C2×D12) = C23⋊3D12central stem extension (φ=1)96C2^2.126(C2xD12)192,519
C22.127(C2×D12) = C24.27D6central stem extension (φ=1)96C2^2.127(C2xD12)192,520
C22.128(C2×D12) = (C2×C4).44D12central stem extension (φ=1)192C2^2.128(C2xD12)192,540
C22.129(C2×D12) = (C2×C4)⋊3D12central stem extension (φ=1)96C2^2.129(C2xD12)192,550
C22.130(C2×D12) = (C2×C12).56D4central stem extension (φ=1)96C2^2.130(C2xD12)192,553
C22.131(C2×D12) = C24⋊30D4central stem extension (φ=1)96C2^2.131(C2xD12)192,673
C22.132(C2×D12) = C24⋊29D4central stem extension (φ=1)96C2^2.132(C2xD12)192,674
C22.133(C2×D12) = C24.82D4central stem extension (φ=1)96C2^2.133(C2xD12)192,675
C22.134(C2×D12) = C24⋊2D4central stem extension (φ=1)96C2^2.134(C2xD12)192,693
C22.135(C2×D12) = C24⋊3D4central stem extension (φ=1)96C2^2.135(C2xD12)192,694
C22.136(C2×D12) = C24.4D4central stem extension (φ=1)96C2^2.136(C2xD12)192,696

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁