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

Extensions 1→N→G→Q→1 with N=C6 and Q=C22⋊Q8

Direct product G=N×Q with N=C6 and Q=C22⋊Q8
dρLabelID
C6×C22⋊Q896C6xC2^2:Q8192,1412

Semidirect products G=N:Q with N=C6 and Q=C22⋊Q8
extensionφ:Q→Aut NdρLabelID
C6⋊1(C22⋊Q8) = C2×Dic3.D4φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C696C6:1(C2^2:Q8)192,1040
C6⋊2(C22⋊Q8) = C2×D6⋊Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C696C6:2(C2^2:Q8)192,1067
C6⋊3(C22⋊Q8) = C2×C4.D12φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C696C6:3(C2^2:Q8)192,1068
C6⋊4(C22⋊Q8) = C2×C12.48D4φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C696C6:4(C2^2:Q8)192,1343
C6⋊5(C22⋊Q8) = C2×D6⋊3Q8φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C696C6:5(C2^2:Q8)192,1372

Non-split extensions G=N.Q with N=C6 and Q=C22⋊Q8
extensionφ:Q→Aut NdρLabelID
C6.1(C22⋊Q8) = (C2×C12)⋊Q8φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C6192C6.1(C2^2:Q8)192,205
C6.2(C22⋊Q8) = C6.(C4×Q8)φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C6192C6.2(C2^2:Q8)192,206
C6.3(C22⋊Q8) = C2.(C4×Dic6)φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C6192C6.3(C2^2:Q8)192,213
C6.4(C22⋊Q8) = Dic3⋊C4⋊C4φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C6192C6.4(C2^2:Q8)192,214
C6.5(C22⋊Q8) = (C2×C4).Dic6φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C6192C6.5(C2^2:Q8)192,219
C6.6(C22⋊Q8) = (C22×C4).85D6φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C6192C6.6(C2^2:Q8)192,220
C6.7(C22⋊Q8) = Dic3.D8φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C696C6.7(C2^2:Q8)192,318
C6.8(C22⋊Q8) = D4⋊Dic6φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C696C6.8(C2^2:Q8)192,320
C6.9(C22⋊Q8) = D4.Dic6φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C696C6.9(C2^2:Q8)192,322
C6.10(C22⋊Q8) = D4.2Dic6φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C696C6.10(C2^2:Q8)192,325
C6.11(C22⋊Q8) = Q8⋊2Dic6φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C6192C6.11(C2^2:Q8)192,350
C6.12(C22⋊Q8) = Q8⋊3Dic6φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C6192C6.12(C2^2:Q8)192,352
C6.13(C22⋊Q8) = Q8.3Dic6φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C6192C6.13(C2^2:Q8)192,355
C6.14(C22⋊Q8) = Q8.4Dic6φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C6192C6.14(C2^2:Q8)192,358
C6.15(C22⋊Q8) = C24.55D6φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C696C6.15(C2^2:Q8)192,501
C6.16(C22⋊Q8) = C24.57D6φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C696C6.16(C2^2:Q8)192,505
C6.17(C22⋊Q8) = C24.58D6φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C696C6.17(C2^2:Q8)192,509
C6.18(C22⋊Q8) = C6.(C4×D4)φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.18(C2^2:Q8)192,211
C6.19(C22⋊Q8) = C2.(C4×D12)φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.19(C2^2:Q8)192,212
C6.20(C22⋊Q8) = (C2×C4)⋊Dic6φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.20(C2^2:Q8)192,215
C6.21(C22⋊Q8) = C6.(C4⋊Q8)φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.21(C2^2:Q8)192,216
C6.22(C22⋊Q8) = (C2×Dic3).9D4φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.22(C2^2:Q8)192,217
C6.23(C22⋊Q8) = (C2×C4).17D12φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.23(C2^2:Q8)192,218
C6.24(C22⋊Q8) = D6⋊(C4⋊C4)φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C696C6.24(C2^2:Q8)192,226
C6.25(C22⋊Q8) = D6⋊C4⋊C4φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C696C6.25(C2^2:Q8)192,227
C6.26(C22⋊Q8) = (C22×S3)⋊Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C696C6.26(C2^2:Q8)192,232
C6.27(C22⋊Q8) = (C22×C4).37D6φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C696C6.27(C2^2:Q8)192,235
C6.28(C22⋊Q8) = (C2×C12).33D4φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C696C6.28(C2^2:Q8)192,236
C6.29(C22⋊Q8) = Dic6.3Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.29(C2^2:Q8)192,388
C6.30(C22⋊Q8) = D12⋊3Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C696C6.30(C2^2:Q8)192,401
C6.31(C22⋊Q8) = D12⋊4Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C696C6.31(C2^2:Q8)192,405
C6.32(C22⋊Q8) = D12.3Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C696C6.32(C2^2:Q8)192,406
C6.33(C22⋊Q8) = Dic6⋊3Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.33(C2^2:Q8)192,409
C6.34(C22⋊Q8) = Dic6⋊4Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.34(C2^2:Q8)192,410
C6.35(C22⋊Q8) = Dic6⋊Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.35(C2^2:Q8)192,413
C6.36(C22⋊Q8) = Dic6.Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.36(C2^2:Q8)192,416
C6.37(C22⋊Q8) = D12⋊Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C696C6.37(C2^2:Q8)192,429
C6.38(C22⋊Q8) = D12.Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C696C6.38(C2^2:Q8)192,430
C6.39(C22⋊Q8) = Dic3.Q16φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.39(C2^2:Q8)192,434
C6.40(C22⋊Q8) = Dic6.2Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.40(C2^2:Q8)192,436
C6.41(C22⋊Q8) = D12⋊2Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C696C6.41(C2^2:Q8)192,449
C6.42(C22⋊Q8) = D12.2Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C696C6.42(C2^2:Q8)192,450
C6.43(C22⋊Q8) = C4.(D6⋊C4)φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.43(C2^2:Q8)192,532
C6.44(C22⋊Q8) = Dic3⋊(C4⋊C4)φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.44(C2^2:Q8)192,535
C6.45(C22⋊Q8) = C4⋊C4⋊5Dic3φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.45(C2^2:Q8)192,539
C6.46(C22⋊Q8) = (C2×C4).44D12φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.46(C2^2:Q8)192,540
C6.47(C22⋊Q8) = (C2×Dic3).Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.47(C2^2:Q8)192,542
C6.48(C22⋊Q8) = C4⋊C4⋊6Dic3φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C6192C6.48(C2^2:Q8)192,543
C6.49(C22⋊Q8) = D6⋊C4⋊6C4φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C696C6.49(C2^2:Q8)192,548
C6.50(C22⋊Q8) = (C2×C12).290D4φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C696C6.50(C2^2:Q8)192,552
C6.51(C22⋊Q8) = (C2×C12).56D4φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C696C6.51(C2^2:Q8)192,553
C6.52(C22⋊Q8) = C12⋊4(C4⋊C4)φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C6192C6.52(C2^2:Q8)192,487
C6.53(C22⋊Q8) = (C2×Dic6)⋊7C4φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C6192C6.53(C2^2:Q8)192,488
C6.54(C22⋊Q8) = (C2×C42).6S3φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C6192C6.54(C2^2:Q8)192,492
C6.55(C22⋊Q8) = C23⋊2Dic6φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C696C6.55(C2^2:Q8)192,506
C6.56(C22⋊Q8) = C24.17D6φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C696C6.56(C2^2:Q8)192,507
C6.57(C22⋊Q8) = C24.18D6φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C696C6.57(C2^2:Q8)192,508
C6.58(C22⋊Q8) = (C2×Dic3)⋊Q8φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C6192C6.58(C2^2:Q8)192,538
C6.59(C22⋊Q8) = (C2×C12).54D4φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C6192C6.59(C2^2:Q8)192,541
C6.60(C22⋊Q8) = (C2×C12).55D4φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C6192C6.60(C2^2:Q8)192,545
C6.61(C22⋊Q8) = C12.50D8φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C696C6.61(C2^2:Q8)192,566
C6.62(C22⋊Q8) = C12.38SD16φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C696C6.62(C2^2:Q8)192,567
C6.63(C22⋊Q8) = D4.3Dic6φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C696C6.63(C2^2:Q8)192,568
C6.64(C22⋊Q8) = Q8⋊4Dic6φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C6192C6.64(C2^2:Q8)192,579
C6.65(C22⋊Q8) = Q8⋊5Dic6φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C6192C6.65(C2^2:Q8)192,580
C6.66(C22⋊Q8) = Q8.5Dic6φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C6192C6.66(C2^2:Q8)192,581
C6.67(C22⋊Q8) = C24.73D6φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C696C6.67(C2^2:Q8)192,769
C6.68(C22⋊Q8) = C24.75D6φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C696C6.68(C2^2:Q8)192,771
C6.69(C22⋊Q8) = C12⋊(C4⋊C4)φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C6192C6.69(C2^2:Q8)192,531
C6.70(C22⋊Q8) = C6.67(C4×D4)φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C6192C6.70(C2^2:Q8)192,537
C6.71(C22⋊Q8) = (C2×C12).288D4φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C6192C6.71(C2^2:Q8)192,544
C6.72(C22⋊Q8) = C4⋊(D6⋊C4)φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C696C6.72(C2^2:Q8)192,546
C6.73(C22⋊Q8) = Dic6.4Q8φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C6192C6.73(C2^2:Q8)192,622
C6.74(C22⋊Q8) = D12.4Q8φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C696C6.74(C2^2:Q8)192,625
C6.75(C22⋊Q8) = D12⋊5Q8φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C696C6.75(C2^2:Q8)192,643
C6.76(C22⋊Q8) = D12⋊6Q8φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C696C6.76(C2^2:Q8)192,646
C6.77(C22⋊Q8) = Dic6⋊5Q8φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C6192C6.77(C2^2:Q8)192,650
C6.78(C22⋊Q8) = Dic6⋊6Q8φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C6192C6.78(C2^2:Q8)192,653
C6.79(C22⋊Q8) = (C6×Q8)⋊7C4φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C6192C6.79(C2^2:Q8)192,788
C6.80(C22⋊Q8) = C22.52(S3×Q8)φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C6192C6.80(C2^2:Q8)192,789
C6.81(C22⋊Q8) = (C22×Q8)⋊9S3φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C696C6.81(C2^2:Q8)192,790
C6.82(C22⋊Q8) = C3×C23.7Q8central extension (φ=1)96C6.82(C2^2:Q8)192,813
C6.83(C22⋊Q8) = C3×C23.8Q8central extension (φ=1)96C6.83(C2^2:Q8)192,818
C6.84(C22⋊Q8) = C3×C23.63C23central extension (φ=1)192C6.84(C2^2:Q8)192,820
C6.85(C22⋊Q8) = C3×C23.65C23central extension (φ=1)192C6.85(C2^2:Q8)192,822
C6.86(C22⋊Q8) = C3×C23.67C23central extension (φ=1)192C6.86(C2^2:Q8)192,824
C6.87(C22⋊Q8) = C3×C23⋊Q8central extension (φ=1)96C6.87(C2^2:Q8)192,826
C6.88(C22⋊Q8) = C3×C23.78C23central extension (φ=1)192C6.88(C2^2:Q8)192,828
C6.89(C22⋊Q8) = C3×C23.Q8central extension (φ=1)96C6.89(C2^2:Q8)192,829
C6.90(C22⋊Q8) = C3×C23.81C23central extension (φ=1)192C6.90(C2^2:Q8)192,831
C6.91(C22⋊Q8) = C3×C23.4Q8central extension (φ=1)96C6.91(C2^2:Q8)192,832
C6.92(C22⋊Q8) = C3×C23.83C23central extension (φ=1)192C6.92(C2^2:Q8)192,833
C6.93(C22⋊Q8) = C3×D4⋊Q8central extension (φ=1)96C6.93(C2^2:Q8)192,907
C6.94(C22⋊Q8) = C3×Q8⋊Q8central extension (φ=1)192C6.94(C2^2:Q8)192,908
C6.95(C22⋊Q8) = C3×D4⋊2Q8central extension (φ=1)96C6.95(C2^2:Q8)192,909
C6.96(C22⋊Q8) = C3×C4.Q16central extension (φ=1)192C6.96(C2^2:Q8)192,910
C6.97(C22⋊Q8) = C3×D4.Q8central extension (φ=1)96C6.97(C2^2:Q8)192,911
C6.98(C22⋊Q8) = C3×Q8.Q8central extension (φ=1)192C6.98(C2^2:Q8)192,912

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁