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

Extensions 1→N→G→Q→1 with N=C6 and Q=C8.C22

Direct product G=N×Q with N=C6 and Q=C8.C22
dρLabelID
C6×C8.C2296C6xC8.C2^2192,1463

Semidirect products G=N:Q with N=C6 and Q=C8.C22
extensionφ:Q→Aut NdρLabelID
C6⋊1(C8.C22) = C2×C8.D6φ: C8.C22/M4(2) → C2 ⊆ Aut C696C6:1(C8.C2^2)192,1306
C6⋊2(C8.C22) = C2×D4.D6φ: C8.C22/SD16 → C2 ⊆ Aut C696C6:2(C8.C2^2)192,1319
C6⋊3(C8.C22) = C2×Q16⋊S3φ: C8.C22/Q16 → C2 ⊆ Aut C696C6:3(C8.C2^2)192,1323
C6⋊4(C8.C22) = C2×Q8.11D6φ: C8.C22/C2×Q8 → C2 ⊆ Aut C696C6:4(C8.C2^2)192,1367
C6⋊5(C8.C22) = C2×Q8.14D6φ: C8.C22/C4○D4 → C2 ⊆ Aut C696C6:5(C8.C2^2)192,1382

Non-split extensions G=N.Q with N=C6 and Q=C8.C22
extensionφ:Q→Aut NdρLabelID
C6.1(C8.C22) = C8⋊Dic6φ: C8.C22/M4(2) → C2 ⊆ Aut C6192C6.1(C8.C2^2)192,261
C6.2(C8.C22) = C42.14D6φ: C8.C22/M4(2) → C2 ⊆ Aut C6192C6.2(C8.C2^2)192,262
C6.3(C8.C22) = C42.16D6φ: C8.C22/M4(2) → C2 ⊆ Aut C696C6.3(C8.C2^2)192,269
C6.4(C8.C22) = C42.20D6φ: C8.C22/M4(2) → C2 ⊆ Aut C696C6.4(C8.C2^2)192,273
C6.5(C8.C22) = C8.D12φ: C8.C22/M4(2) → C2 ⊆ Aut C696C6.5(C8.C2^2)192,274
C6.6(C8.C22) = Dic12⋊C4φ: C8.C22/M4(2) → C2 ⊆ Aut C6192C6.6(C8.C2^2)192,275
C6.7(C8.C22) = C23.39D12φ: C8.C22/M4(2) → C2 ⊆ Aut C696C6.7(C8.C2^2)192,280
C6.8(C8.C22) = C23.15D12φ: C8.C22/M4(2) → C2 ⊆ Aut C696C6.8(C8.C2^2)192,282
C6.9(C8.C22) = D12.32D4φ: C8.C22/M4(2) → C2 ⊆ Aut C696C6.9(C8.C2^2)192,292
C6.10(C8.C22) = C22.D24φ: C8.C22/M4(2) → C2 ⊆ Aut C696C6.10(C8.C2^2)192,295
C6.11(C8.C22) = Dic6⋊14D4φ: C8.C22/M4(2) → C2 ⊆ Aut C696C6.11(C8.C2^2)192,297
C6.12(C8.C22) = Dic6.32D4φ: C8.C22/M4(2) → C2 ⊆ Aut C696C6.12(C8.C2^2)192,298
C6.13(C8.C22) = Dic6.3Q8φ: C8.C22/M4(2) → C2 ⊆ Aut C6192C6.13(C8.C2^2)192,388
C6.14(C8.C22) = C12⋊SD16φ: C8.C22/M4(2) → C2 ⊆ Aut C696C6.14(C8.C2^2)192,400
C6.15(C8.C22) = C42.36D6φ: C8.C22/M4(2) → C2 ⊆ Aut C696C6.15(C8.C2^2)192,404
C6.16(C8.C22) = D12⋊4Q8φ: C8.C22/M4(2) → C2 ⊆ Aut C696C6.16(C8.C2^2)192,405
C6.17(C8.C22) = C4⋊Dic12φ: C8.C22/M4(2) → C2 ⊆ Aut C6192C6.17(C8.C2^2)192,408
C6.18(C8.C22) = Dic6⋊4Q8φ: C8.C22/M4(2) → C2 ⊆ Aut C6192C6.18(C8.C2^2)192,410
C6.19(C8.C22) = C23.51D12φ: C8.C22/M4(2) → C2 ⊆ Aut C696C6.19(C8.C2^2)192,679
C6.20(C8.C22) = C23.52D12φ: C8.C22/M4(2) → C2 ⊆ Aut C696C6.20(C8.C2^2)192,680
C6.21(C8.C22) = C23.54D12φ: C8.C22/M4(2) → C2 ⊆ Aut C696C6.21(C8.C2^2)192,692
C6.22(C8.C22) = C24⋊2D4φ: C8.C22/M4(2) → C2 ⊆ Aut C696C6.22(C8.C2^2)192,693
C6.23(C8.C22) = C24.4D4φ: C8.C22/M4(2) → C2 ⊆ Aut C696C6.23(C8.C2^2)192,696
C6.24(C8.C22) = D4.S3⋊C4φ: C8.C22/SD16 → C2 ⊆ Aut C696C6.24(C8.C2^2)192,316
C6.25(C8.C22) = Dic3.D8φ: C8.C22/SD16 → C2 ⊆ Aut C696C6.25(C8.C2^2)192,318
C6.26(C8.C22) = C12⋊Q8⋊C2φ: C8.C22/SD16 → C2 ⊆ Aut C696C6.26(C8.C2^2)192,324
C6.27(C8.C22) = Dic6.D4φ: C8.C22/SD16 → C2 ⊆ Aut C696C6.27(C8.C2^2)192,326
C6.28(C8.C22) = D4⋊(C4×S3)φ: C8.C22/SD16 → C2 ⊆ Aut C696C6.28(C8.C2^2)192,330
C6.29(C8.C22) = D6.D8φ: C8.C22/SD16 → C2 ⊆ Aut C696C6.29(C8.C2^2)192,333
C6.30(C8.C22) = C3⋊C8⋊1D4φ: C8.C22/SD16 → C2 ⊆ Aut C696C6.30(C8.C2^2)192,339
C6.31(C8.C22) = D4.D12φ: C8.C22/SD16 → C2 ⊆ Aut C696C6.31(C8.C2^2)192,342
C6.32(C8.C22) = Dic3⋊Q16φ: C8.C22/SD16 → C2 ⊆ Aut C6192C6.32(C8.C2^2)192,354
C6.33(C8.C22) = Q8.3Dic6φ: C8.C22/SD16 → C2 ⊆ Aut C6192C6.33(C8.C2^2)192,355
C6.34(C8.C22) = (S3×Q8)⋊C4φ: C8.C22/SD16 → C2 ⊆ Aut C696C6.34(C8.C2^2)192,361
C6.35(C8.C22) = D6⋊Q16φ: C8.C22/SD16 → C2 ⊆ Aut C696C6.35(C8.C2^2)192,368
C6.36(C8.C22) = D6⋊C8.C2φ: C8.C22/SD16 → C2 ⊆ Aut C696C6.36(C8.C2^2)192,373
C6.37(C8.C22) = Dic12⋊9C4φ: C8.C22/SD16 → C2 ⊆ Aut C6192C6.37(C8.C2^2)192,412
C6.38(C8.C22) = Dic6⋊Q8φ: C8.C22/SD16 → C2 ⊆ Aut C6192C6.38(C8.C2^2)192,413
C6.39(C8.C22) = C24⋊3Q8φ: C8.C22/SD16 → C2 ⊆ Aut C6192C6.39(C8.C2^2)192,415
C6.40(C8.C22) = Dic6.Q8φ: C8.C22/SD16 → C2 ⊆ Aut C6192C6.40(C8.C2^2)192,416
C6.41(C8.C22) = C8⋊(C4×S3)φ: C8.C22/SD16 → C2 ⊆ Aut C696C6.41(C8.C2^2)192,420
C6.42(C8.C22) = D6.2SD16φ: C8.C22/SD16 → C2 ⊆ Aut C696C6.42(C8.C2^2)192,421
C6.43(C8.C22) = C8.2D12φ: C8.C22/SD16 → C2 ⊆ Aut C696C6.43(C8.C2^2)192,426
C6.44(C8.C22) = C6.(C4○D8)φ: C8.C22/SD16 → C2 ⊆ Aut C696C6.44(C8.C2^2)192,427
C6.45(C8.C22) = Dic3⋊3SD16φ: C8.C22/SD16 → C2 ⊆ Aut C696C6.45(C8.C2^2)192,721
C6.46(C8.C22) = SD16⋊Dic3φ: C8.C22/SD16 → C2 ⊆ Aut C696C6.46(C8.C2^2)192,723
C6.47(C8.C22) = (C3×Q8).D4φ: C8.C22/SD16 → C2 ⊆ Aut C696C6.47(C8.C2^2)192,725
C6.48(C8.C22) = C24.31D4φ: C8.C22/SD16 → C2 ⊆ Aut C696C6.48(C8.C2^2)192,726
C6.49(C8.C22) = D6⋊8SD16φ: C8.C22/SD16 → C2 ⊆ Aut C696C6.49(C8.C2^2)192,729
C6.50(C8.C22) = Dic6.16D4φ: C8.C22/SD16 → C2 ⊆ Aut C696C6.50(C8.C2^2)192,732
C6.51(C8.C22) = C24⋊8D4φ: C8.C22/SD16 → C2 ⊆ Aut C696C6.51(C8.C2^2)192,733
C6.52(C8.C22) = C3⋊Q16⋊C4φ: C8.C22/Q16 → C2 ⊆ Aut C6192C6.52(C8.C2^2)192,348
C6.53(C8.C22) = Q8⋊2Dic6φ: C8.C22/Q16 → C2 ⊆ Aut C6192C6.53(C8.C2^2)192,350
C6.54(C8.C22) = (C2×C8).D6φ: C8.C22/Q16 → C2 ⊆ Aut C696C6.54(C8.C2^2)192,353
C6.55(C8.C22) = (C2×Q8).36D6φ: C8.C22/Q16 → C2 ⊆ Aut C6192C6.55(C8.C2^2)192,356
C6.56(C8.C22) = Dic6.11D4φ: C8.C22/Q16 → C2 ⊆ Aut C696C6.56(C8.C2^2)192,357
C6.57(C8.C22) = Q8.4Dic6φ: C8.C22/Q16 → C2 ⊆ Aut C6192C6.57(C8.C2^2)192,358
C6.58(C8.C22) = Q8⋊7(C4×S3)φ: C8.C22/Q16 → C2 ⊆ Aut C696C6.58(C8.C2^2)192,362
C6.59(C8.C22) = D6.1SD16φ: C8.C22/Q16 → C2 ⊆ Aut C696C6.59(C8.C2^2)192,364
C6.60(C8.C22) = Q8⋊3D12φ: C8.C22/Q16 → C2 ⊆ Aut C696C6.60(C8.C2^2)192,365
C6.61(C8.C22) = Q8.11D12φ: C8.C22/Q16 → C2 ⊆ Aut C696C6.61(C8.C2^2)192,367
C6.62(C8.C22) = C3⋊(C8⋊D4)φ: C8.C22/Q16 → C2 ⊆ Aut C696C6.62(C8.C2^2)192,371
C6.63(C8.C22) = C8⋊Dic3⋊C2φ: C8.C22/Q16 → C2 ⊆ Aut C696C6.63(C8.C2^2)192,374
C6.64(C8.C22) = C3⋊C8.D4φ: C8.C22/Q16 → C2 ⊆ Aut C696C6.64(C8.C2^2)192,375
C6.65(C8.C22) = Q8⋊3(C4×S3)φ: C8.C22/Q16 → C2 ⊆ Aut C696C6.65(C8.C2^2)192,376
C6.66(C8.C22) = Dic3⋊SD16φ: C8.C22/Q16 → C2 ⊆ Aut C696C6.66(C8.C2^2)192,377
C6.67(C8.C22) = C24⋊4Q8φ: C8.C22/Q16 → C2 ⊆ Aut C6192C6.67(C8.C2^2)192,435
C6.68(C8.C22) = Dic6.2Q8φ: C8.C22/Q16 → C2 ⊆ Aut C6192C6.68(C8.C2^2)192,436
C6.69(C8.C22) = C8⋊S3⋊C4φ: C8.C22/Q16 → C2 ⊆ Aut C696C6.69(C8.C2^2)192,440
C6.70(C8.C22) = D6.5D8φ: C8.C22/Q16 → C2 ⊆ Aut C696C6.70(C8.C2^2)192,441
C6.71(C8.C22) = C8⋊3D12φ: C8.C22/Q16 → C2 ⊆ Aut C696C6.71(C8.C2^2)192,445
C6.72(C8.C22) = C2.D8⋊7S3φ: C8.C22/Q16 → C2 ⊆ Aut C696C6.72(C8.C2^2)192,447
C6.73(C8.C22) = C24⋊C2⋊C4φ: C8.C22/Q16 → C2 ⊆ Aut C696C6.73(C8.C2^2)192,448
C6.74(C8.C22) = D12⋊2Q8φ: C8.C22/Q16 → C2 ⊆ Aut C696C6.74(C8.C2^2)192,449
C6.75(C8.C22) = Dic3⋊3Q16φ: C8.C22/Q16 → C2 ⊆ Aut C6192C6.75(C8.C2^2)192,741
C6.76(C8.C22) = Q16⋊Dic3φ: C8.C22/Q16 → C2 ⊆ Aut C6192C6.76(C8.C2^2)192,743
C6.77(C8.C22) = (C2×Q16)⋊S3φ: C8.C22/Q16 → C2 ⊆ Aut C696C6.77(C8.C2^2)192,744
C6.78(C8.C22) = D6⋊5Q16φ: C8.C22/Q16 → C2 ⊆ Aut C696C6.78(C8.C2^2)192,745
C6.79(C8.C22) = D12.17D4φ: C8.C22/Q16 → C2 ⊆ Aut C696C6.79(C8.C2^2)192,746
C6.80(C8.C22) = C24.36D4φ: C8.C22/Q16 → C2 ⊆ Aut C696C6.80(C8.C2^2)192,748
C6.81(C8.C22) = C24.37D4φ: C8.C22/Q16 → C2 ⊆ Aut C696C6.81(C8.C2^2)192,749
C6.82(C8.C22) = C4⋊C4.225D6φ: C8.C22/C2×Q8 → C2 ⊆ Aut C696C6.82(C8.C2^2)192,523
C6.83(C8.C22) = C4○D12⋊C4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C696C6.83(C8.C2^2)192,525
C6.84(C8.C22) = (C2×C6).40D8φ: C8.C22/C2×Q8 → C2 ⊆ Aut C696C6.84(C8.C2^2)192,526
C6.85(C8.C22) = C4⋊C4.231D6φ: C8.C22/C2×Q8 → C2 ⊆ Aut C696C6.85(C8.C2^2)192,530
C6.86(C8.C22) = Q8.5Dic6φ: C8.C22/C2×Q8 → C2 ⊆ Aut C6192C6.86(C8.C2^2)192,581
C6.87(C8.C22) = C42.56D6φ: C8.C22/C2×Q8 → C2 ⊆ Aut C696C6.87(C8.C2^2)192,585
C6.88(C8.C22) = Q8.6D12φ: C8.C22/C2×Q8 → C2 ⊆ Aut C696C6.88(C8.C2^2)192,587
C6.89(C8.C22) = (C2×Q8).51D6φ: C8.C22/C2×Q8 → C2 ⊆ Aut C696C6.89(C8.C2^2)192,604
C6.90(C8.C22) = D12.37D4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C696C6.90(C8.C2^2)192,606
C6.91(C8.C22) = C3⋊C8⋊6D4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C696C6.91(C8.C2^2)192,608
C6.92(C8.C22) = C3⋊C8.6D4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C696C6.92(C8.C2^2)192,611
C6.93(C8.C22) = C42.76D6φ: C8.C22/C2×Q8 → C2 ⊆ Aut C6192C6.93(C8.C2^2)192,640
C6.94(C8.C22) = C42.77D6φ: C8.C22/C2×Q8 → C2 ⊆ Aut C6192C6.94(C8.C2^2)192,641
C6.95(C8.C22) = C12⋊5SD16φ: C8.C22/C2×Q8 → C2 ⊆ Aut C696C6.95(C8.C2^2)192,642
C6.96(C8.C22) = C42.80D6φ: C8.C22/C2×Q8 → C2 ⊆ Aut C696C6.96(C8.C2^2)192,645
C6.97(C8.C22) = D12⋊6Q8φ: C8.C22/C2×Q8 → C2 ⊆ Aut C696C6.97(C8.C2^2)192,646
C6.98(C8.C22) = C42.82D6φ: C8.C22/C2×Q8 → C2 ⊆ Aut C696C6.98(C8.C2^2)192,648
C6.99(C8.C22) = C12⋊Q16φ: C8.C22/C2×Q8 → C2 ⊆ Aut C6192C6.99(C8.C2^2)192,649
C6.100(C8.C22) = Dic6⋊6Q8φ: C8.C22/C2×Q8 → C2 ⊆ Aut C6192C6.100(C8.C2^2)192,653
C6.101(C8.C22) = (C6×Q8)⋊6C4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C696C6.101(C8.C2^2)192,784
C6.102(C8.C22) = (C3×Q8)⋊13D4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C696C6.102(C8.C2^2)192,786
C6.103(C8.C22) = (C2×C6)⋊8Q16φ: C8.C22/C2×Q8 → C2 ⊆ Aut C696C6.103(C8.C2^2)192,787
C6.104(C8.C22) = C4⋊C4.232D6φ: C8.C22/C4○D4 → C2 ⊆ Aut C696C6.104(C8.C2^2)192,554
C6.105(C8.C22) = C4⋊C4.233D6φ: C8.C22/C4○D4 → C2 ⊆ Aut C696C6.105(C8.C2^2)192,555
C6.106(C8.C22) = C4⋊C4.237D6φ: C8.C22/C4○D4 → C2 ⊆ Aut C696C6.106(C8.C2^2)192,563
C6.107(C8.C22) = C12.50D8φ: C8.C22/C4○D4 → C2 ⊆ Aut C696C6.107(C8.C2^2)192,566
C6.108(C8.C22) = C42.51D6φ: C8.C22/C4○D4 → C2 ⊆ Aut C696C6.108(C8.C2^2)192,577
C6.109(C8.C22) = D4.2D12φ: C8.C22/C4○D4 → C2 ⊆ Aut C696C6.109(C8.C2^2)192,578
C6.110(C8.C22) = Q8⋊4Dic6φ: C8.C22/C4○D4 → C2 ⊆ Aut C6192C6.110(C8.C2^2)192,579
C6.111(C8.C22) = C42.59D6φ: C8.C22/C4○D4 → C2 ⊆ Aut C6192C6.111(C8.C2^2)192,589
C6.112(C8.C22) = C12⋊7Q16φ: C8.C22/C4○D4 → C2 ⊆ Aut C6192C6.112(C8.C2^2)192,590
C6.113(C8.C22) = (C2×C6).D8φ: C8.C22/C4○D4 → C2 ⊆ Aut C696C6.113(C8.C2^2)192,592
C6.114(C8.C22) = Dic6⋊17D4φ: C8.C22/C4○D4 → C2 ⊆ Aut C696C6.114(C8.C2^2)192,599
C6.115(C8.C22) = C3⋊C8⋊5D4φ: C8.C22/C4○D4 → C2 ⊆ Aut C696C6.115(C8.C2^2)192,601
C6.116(C8.C22) = (C2×Q8).49D6φ: C8.C22/C4○D4 → C2 ⊆ Aut C696C6.116(C8.C2^2)192,602
C6.117(C8.C22) = Dic6.37D4φ: C8.C22/C4○D4 → C2 ⊆ Aut C696C6.117(C8.C2^2)192,609
C6.118(C8.C22) = C42.61D6φ: C8.C22/C4○D4 → C2 ⊆ Aut C696C6.118(C8.C2^2)192,613
C6.119(C8.C22) = C42.62D6φ: C8.C22/C4○D4 → C2 ⊆ Aut C696C6.119(C8.C2^2)192,614
C6.120(C8.C22) = C42.65D6φ: C8.C22/C4○D4 → C2 ⊆ Aut C696C6.120(C8.C2^2)192,619
C6.121(C8.C22) = Dic6.4Q8φ: C8.C22/C4○D4 → C2 ⊆ Aut C6192C6.121(C8.C2^2)192,622
C6.122(C8.C22) = C42.68D6φ: C8.C22/C4○D4 → C2 ⊆ Aut C6192C6.122(C8.C2^2)192,623
C6.123(C8.C22) = C42.71D6φ: C8.C22/C4○D4 → C2 ⊆ Aut C6192C6.123(C8.C2^2)192,628
C6.124(C8.C22) = C4○D4⋊3Dic3φ: C8.C22/C4○D4 → C2 ⊆ Aut C696C6.124(C8.C2^2)192,791
C6.125(C8.C22) = (C3×D4).32D4φ: C8.C22/C4○D4 → C2 ⊆ Aut C696C6.125(C8.C2^2)192,798
C6.126(C8.C22) = C3×C23.36D4central extension (φ=1)96C6.126(C8.C2^2)192,850
C6.127(C8.C22) = C3×C23.38D4central extension (φ=1)96C6.127(C8.C2^2)192,852
C6.128(C8.C22) = C3×M4(2)⋊C4central extension (φ=1)96C6.128(C8.C2^2)192,861
C6.129(C8.C22) = C3×SD16⋊C4central extension (φ=1)96C6.129(C8.C2^2)192,873
C6.130(C8.C22) = C3×Q16⋊C4central extension (φ=1)192C6.130(C8.C2^2)192,874
C6.131(C8.C22) = C3×Q8⋊D4central extension (φ=1)96C6.131(C8.C2^2)192,881
C6.132(C8.C22) = C3×C22⋊Q16central extension (φ=1)96C6.132(C8.C2^2)192,884
C6.133(C8.C22) = C3×D4.7D4central extension (φ=1)96C6.133(C8.C2^2)192,885
C6.134(C8.C22) = C3×D4.D4central extension (φ=1)96C6.134(C8.C2^2)192,894
C6.135(C8.C22) = C3×C4⋊2Q16central extension (φ=1)192C6.135(C8.C2^2)192,895
C6.136(C8.C22) = C3×Q8.D4central extension (φ=1)96C6.136(C8.C2^2)192,897
C6.137(C8.C22) = C3×C8⋊D4central extension (φ=1)96C6.137(C8.C2^2)192,901
C6.138(C8.C22) = C3×C8.D4central extension (φ=1)96C6.138(C8.C2^2)192,903
C6.139(C8.C22) = C3×D4⋊Q8central extension (φ=1)96C6.139(C8.C2^2)192,907
C6.140(C8.C22) = C3×Q8⋊Q8central extension (φ=1)192C6.140(C8.C2^2)192,908
C6.141(C8.C22) = C3×Q8.Q8central extension (φ=1)192C6.141(C8.C2^2)192,912
C6.142(C8.C22) = C3×C22.D8central extension (φ=1)96C6.142(C8.C2^2)192,913
C6.143(C8.C22) = C3×C23.47D4central extension (φ=1)96C6.143(C8.C2^2)192,916
C6.144(C8.C22) = C3×C23.20D4central extension (φ=1)96C6.144(C8.C2^2)192,918
C6.145(C8.C22) = C3×C42.28C22central extension (φ=1)96C6.145(C8.C2^2)192,922
C6.146(C8.C22) = C3×C42.30C22central extension (φ=1)192C6.146(C8.C2^2)192,924
C6.147(C8.C22) = C3×C8.2D4central extension (φ=1)96C6.147(C8.C2^2)192,930
C6.148(C8.C22) = C3×C8⋊Q8central extension (φ=1)192C6.148(C8.C2^2)192,934

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁