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

Extensions 1→N→G→Q→1 with N=C6 and Q=C2×C22⋊C4

Direct product G=N×Q with N=C6 and Q=C2×C22⋊C4
dρLabelID
C2×C6×C22⋊C496C2xC6xC2^2:C4192,1401

Semidirect products G=N:Q with N=C6 and Q=C2×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C6⋊1(C2×C22⋊C4) = C2×S3×C22⋊C4φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C648C6:1(C2xC2^2:C4)192,1043
C6⋊2(C2×C22⋊C4) = C22×D6⋊C4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C696C6:2(C2xC2^2:C4)192,1346
C6⋊3(C2×C22⋊C4) = C22×C6.D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C696C6:3(C2xC2^2:C4)192,1398

Non-split extensions G=N.Q with N=C6 and Q=C2×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C6.1(C2×C22⋊C4) = (C2×C12)⋊Q8φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C6192C6.1(C2xC2^2:C4)192,205
C6.2(C2×C22⋊C4) = S3×C2.C42φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C696C6.2(C2xC2^2:C4)192,222
C6.3(C2×C22⋊C4) = C22.58(S3×D4)φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C696C6.3(C2xC2^2:C4)192,223
C6.4(C2×C22⋊C4) = (C2×C4)⋊9D12φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C696C6.4(C2xC2^2:C4)192,224
C6.5(C2×C22⋊C4) = D6⋊C42φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C696C6.5(C2xC2^2:C4)192,225
C6.6(C2×C22⋊C4) = D6⋊(C4⋊C4)φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C696C6.6(C2xC2^2:C4)192,226
C6.7(C2×C22⋊C4) = S3×C22⋊C8φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C648C6.7(C2xC2^2:C4)192,283
C6.8(C2×C22⋊C4) = D6⋊M4(2)φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C648C6.8(C2xC2^2:C4)192,285
C6.9(C2×C22⋊C4) = D6⋊C8⋊C2φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C696C6.9(C2xC2^2:C4)192,286
C6.10(C2×C22⋊C4) = C23⋊C4⋊5S3φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C6488-C6.10(C2xC2^2:C4)192,299
C6.11(C2×C22⋊C4) = S3×C23⋊C4φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C6248+C6.11(C2xC2^2:C4)192,302
C6.12(C2×C22⋊C4) = S3×C4.D4φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C6248+C6.12(C2xC2^2:C4)192,303
C6.13(C2×C22⋊C4) = M4(2).19D6φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C6488-C6.13(C2xC2^2:C4)192,304
C6.14(C2×C22⋊C4) = S3×C4.10D4φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C6488-C6.14(C2xC2^2:C4)192,309
C6.15(C2×C22⋊C4) = M4(2).21D6φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C6488+C6.15(C2xC2^2:C4)192,310
C6.16(C2×C22⋊C4) = S3×D4⋊C4φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C648C6.16(C2xC2^2:C4)192,328
C6.17(C2×C22⋊C4) = C4⋊C4⋊19D6φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C648C6.17(C2xC2^2:C4)192,329
C6.18(C2×C22⋊C4) = D4⋊(C4×S3)φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C696C6.18(C2xC2^2:C4)192,330
C6.19(C2×C22⋊C4) = D4⋊2S3⋊C4φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C696C6.19(C2xC2^2:C4)192,331
C6.20(C2×C22⋊C4) = S3×Q8⋊C4φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C696C6.20(C2xC2^2:C4)192,360
C6.21(C2×C22⋊C4) = (S3×Q8)⋊C4φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C696C6.21(C2xC2^2:C4)192,361
C6.22(C2×C22⋊C4) = Q8⋊7(C4×S3)φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C696C6.22(C2xC2^2:C4)192,362
C6.23(C2×C22⋊C4) = C4⋊C4.150D6φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C696C6.23(C2xC2^2:C4)192,363
C6.24(C2×C22⋊C4) = S3×C4≀C2φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C6244C6.24(C2xC2^2:C4)192,379
C6.25(C2×C22⋊C4) = C42⋊3D6φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C6484C6.25(C2xC2^2:C4)192,380
C6.26(C2×C22⋊C4) = Dic3×C22⋊C4φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C696C6.26(C2xC2^2:C4)192,500
C6.27(C2×C22⋊C4) = C24.55D6φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C696C6.27(C2xC2^2:C4)192,501
C6.28(C2×C22⋊C4) = C24.23D6φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C696C6.28(C2xC2^2:C4)192,515
C6.29(C2×C22⋊C4) = C24.24D6φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C696C6.29(C2xC2^2:C4)192,516
C6.30(C2×C22⋊C4) = C2×C42⋊4S3φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C648C6.30(C2xC2^2:C4)192,486
C6.31(C2×C22⋊C4) = (C2×Dic6)⋊7C4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C6192C6.31(C2xC2^2:C4)192,488
C6.32(C2×C22⋊C4) = C4×D6⋊C4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C696C6.32(C2xC2^2:C4)192,497
C6.33(C2×C22⋊C4) = (C2×C4)⋊6D12φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C696C6.33(C2xC2^2:C4)192,498
C6.34(C2×C22⋊C4) = C24.56D6φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C696C6.34(C2xC2^2:C4)192,502
C6.35(C2×C22⋊C4) = C2×C23.6D6φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C648C6.35(C2xC2^2:C4)192,513
C6.36(C2×C22⋊C4) = C24.59D6φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C648C6.36(C2xC2^2:C4)192,514
C6.37(C2×C22⋊C4) = C24.60D6φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C696C6.37(C2xC2^2:C4)192,517
C6.38(C2×C22⋊C4) = C2×C6.D8φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C696C6.38(C2xC2^2:C4)192,524
C6.39(C2×C22⋊C4) = C4○D12⋊C4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C696C6.39(C2xC2^2:C4)192,525
C6.40(C2×C22⋊C4) = C2×C6.SD16φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C6192C6.40(C2xC2^2:C4)192,528
C6.41(C2×C22⋊C4) = C4.(D6⋊C4)φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C6192C6.41(C2xC2^2:C4)192,532
C6.42(C2×C22⋊C4) = C4⋊(D6⋊C4)φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C696C6.42(C2xC2^2:C4)192,546
C6.43(C2×C22⋊C4) = (C2×D12)⋊10C4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C696C6.43(C2xC2^2:C4)192,547
C6.44(C2×C22⋊C4) = C4⋊C4⋊36D6φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C648C6.44(C2xC2^2:C4)192,560
C6.45(C2×C22⋊C4) = C4.(C2×D12)φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C696C6.45(C2xC2^2:C4)192,561
C6.46(C2×C22⋊C4) = C4⋊C4.237D6φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C696C6.46(C2xC2^2:C4)192,563
C6.47(C2×C22⋊C4) = C42⋊6D6φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C6484C6.47(C2xC2^2:C4)192,564
C6.48(C2×C22⋊C4) = (C2×D12)⋊13C4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C6484C6.48(C2xC2^2:C4)192,565
C6.49(C2×C22⋊C4) = C2×C2.Dic12φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C6192C6.49(C2xC2^2:C4)192,662
C6.50(C2×C22⋊C4) = C2×D6⋊C8φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C696C6.50(C2xC2^2:C4)192,667
C6.51(C2×C22⋊C4) = (C22×C8)⋊7S3φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C696C6.51(C2xC2^2:C4)192,669
C6.52(C2×C22⋊C4) = C2×C2.D24φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C696C6.52(C2xC2^2:C4)192,671
C6.53(C2×C22⋊C4) = C23.28D12φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C696C6.53(C2xC2^2:C4)192,672
C6.54(C2×C22⋊C4) = C23.51D12φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C696C6.54(C2xC2^2:C4)192,679
C6.55(C2×C22⋊C4) = D6⋊6M4(2)φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C648C6.55(C2xC2^2:C4)192,685
C6.56(C2×C22⋊C4) = D6⋊C8⋊40C2φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C696C6.56(C2xC2^2:C4)192,688
C6.57(C2×C22⋊C4) = C2×C12.46D4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C648C6.57(C2xC2^2:C4)192,689
C6.58(C2×C22⋊C4) = C23.53D12φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C648C6.58(C2xC2^2:C4)192,690
C6.59(C2×C22⋊C4) = M4(2).31D6φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C6484C6.59(C2xC2^2:C4)192,691
C6.60(C2×C22⋊C4) = C23.54D12φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C696C6.60(C2xC2^2:C4)192,692
C6.61(C2×C22⋊C4) = C2×C12.47D4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C696C6.61(C2xC2^2:C4)192,695
C6.62(C2×C22⋊C4) = C2×D12⋊C4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C648C6.62(C2xC2^2:C4)192,697
C6.63(C2×C22⋊C4) = M4(2)⋊24D6φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C6484C6.63(C2xC2^2:C4)192,698
C6.64(C2×C22⋊C4) = C2×C6.C42φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C6192C6.64(C2xC2^2:C4)192,767
C6.65(C2×C22⋊C4) = C24.76D6φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C696C6.65(C2xC2^2:C4)192,772
C6.66(C2×C22⋊C4) = C2×C12.55D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C696C6.66(C2xC2^2:C4)192,765
C6.67(C2×C22⋊C4) = C24.6Dic3φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C648C6.67(C2xC2^2:C4)192,766
C6.68(C2×C22⋊C4) = C4×C6.D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C696C6.68(C2xC2^2:C4)192,768
C6.69(C2×C22⋊C4) = C24.74D6φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C696C6.69(C2xC2^2:C4)192,770
C6.70(C2×C22⋊C4) = C24.75D6φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C696C6.70(C2xC2^2:C4)192,771
C6.71(C2×C22⋊C4) = C2×D4⋊Dic3φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C696C6.71(C2xC2^2:C4)192,773
C6.72(C2×C22⋊C4) = (C6×D4)⋊6C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C648C6.72(C2xC2^2:C4)192,774
C6.73(C2×C22⋊C4) = C2×C12.D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C648C6.73(C2xC2^2:C4)192,775
C6.74(C2×C22⋊C4) = C2×C23.7D6φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C648C6.74(C2xC2^2:C4)192,778
C6.75(C2×C22⋊C4) = C24.29D6φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C696C6.75(C2xC2^2:C4)192,779
C6.76(C2×C22⋊C4) = C24.30D6φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C696C6.76(C2xC2^2:C4)192,780
C6.77(C2×C22⋊C4) = C2×Q8⋊2Dic3φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C6192C6.77(C2xC2^2:C4)192,783
C6.78(C2×C22⋊C4) = (C6×Q8)⋊6C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C696C6.78(C2xC2^2:C4)192,784
C6.79(C2×C22⋊C4) = C2×C12.10D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C696C6.79(C2xC2^2:C4)192,785
C6.80(C2×C22⋊C4) = (C6×Q8)⋊7C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C6192C6.80(C2xC2^2:C4)192,788
C6.81(C2×C22⋊C4) = C4○D4⋊3Dic3φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C696C6.81(C2xC2^2:C4)192,791
C6.82(C2×C22⋊C4) = C4○D4⋊4Dic3φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C696C6.82(C2xC2^2:C4)192,792
C6.83(C2×C22⋊C4) = (C6×D4).11C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C696C6.83(C2xC2^2:C4)192,793
C6.84(C2×C22⋊C4) = C2×Q8⋊3Dic3φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C648C6.84(C2xC2^2:C4)192,794
C6.85(C2×C22⋊C4) = (C6×D4)⋊9C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C6484C6.85(C2xC2^2:C4)192,795
C6.86(C2×C22⋊C4) = (C6×D4).16C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C6484C6.86(C2xC2^2:C4)192,796
C6.87(C2×C22⋊C4) = (C6×D4)⋊10C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C6484C6.87(C2xC2^2:C4)192,799
C6.88(C2×C22⋊C4) = C25.4S3φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C648C6.88(C2xC2^2:C4)192,806
C6.89(C2×C22⋊C4) = C6×C2.C42central extension (φ=1)192C6.89(C2xC2^2:C4)192,808
C6.90(C2×C22⋊C4) = C12×C22⋊C4central extension (φ=1)96C6.90(C2xC2^2:C4)192,810
C6.91(C2×C22⋊C4) = C3×C24⋊3C4central extension (φ=1)48C6.91(C2xC2^2:C4)192,812
C6.92(C2×C22⋊C4) = C3×C23.7Q8central extension (φ=1)96C6.92(C2xC2^2:C4)192,813
C6.93(C2×C22⋊C4) = C3×C23.34D4central extension (φ=1)96C6.93(C2xC2^2:C4)192,814
C6.94(C2×C22⋊C4) = C3×C23.23D4central extension (φ=1)96C6.94(C2xC2^2:C4)192,819
C6.95(C2×C22⋊C4) = C3×C24.3C22central extension (φ=1)96C6.95(C2xC2^2:C4)192,823
C6.96(C2×C22⋊C4) = C3×C23.67C23central extension (φ=1)192C6.96(C2xC2^2:C4)192,824
C6.97(C2×C22⋊C4) = C6×C22⋊C8central extension (φ=1)96C6.97(C2xC2^2:C4)192,839
C6.98(C2×C22⋊C4) = C3×C24.4C4central extension (φ=1)48C6.98(C2xC2^2:C4)192,840
C6.99(C2×C22⋊C4) = C3×(C22×C8)⋊C2central extension (φ=1)96C6.99(C2xC2^2:C4)192,841
C6.100(C2×C22⋊C4) = C6×C23⋊C4central extension (φ=1)48C6.100(C2xC2^2:C4)192,842
C6.101(C2×C22⋊C4) = C3×C23.C23central extension (φ=1)484C6.101(C2xC2^2:C4)192,843
C6.102(C2×C22⋊C4) = C6×C4.D4central extension (φ=1)48C6.102(C2xC2^2:C4)192,844
C6.103(C2×C22⋊C4) = C6×C4.10D4central extension (φ=1)96C6.103(C2xC2^2:C4)192,845
C6.104(C2×C22⋊C4) = C3×M4(2).8C22central extension (φ=1)484C6.104(C2xC2^2:C4)192,846
C6.105(C2×C22⋊C4) = C6×D4⋊C4central extension (φ=1)96C6.105(C2xC2^2:C4)192,847
C6.106(C2×C22⋊C4) = C6×Q8⋊C4central extension (φ=1)192C6.106(C2xC2^2:C4)192,848
C6.107(C2×C22⋊C4) = C3×C23.24D4central extension (φ=1)96C6.107(C2xC2^2:C4)192,849
C6.108(C2×C22⋊C4) = C3×C23.36D4central extension (φ=1)96C6.108(C2xC2^2:C4)192,850
C6.109(C2×C22⋊C4) = C3×C23.37D4central extension (φ=1)48C6.109(C2xC2^2:C4)192,851
C6.110(C2×C22⋊C4) = C3×C23.38D4central extension (φ=1)96C6.110(C2xC2^2:C4)192,852
C6.111(C2×C22⋊C4) = C6×C4≀C2central extension (φ=1)48C6.111(C2xC2^2:C4)192,853
C6.112(C2×C22⋊C4) = C3×C42⋊C22central extension (φ=1)484C6.112(C2xC2^2:C4)192,854

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁