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

Extensions 1→N→G→Q→1 with N=C6 and Q=C6×D4

Direct product G=N×Q with N=C6 and Q=C6×D4
dρLabelID
D4×C62144D4xC6^2288,1019

Semidirect products G=N:Q with N=C6 and Q=C6×D4
extensionφ:Q→Aut NdρLabelID
C6⋊1(C6×D4) = C2×C6×D12φ: C6×D4/C2×C12 → C2 ⊆ Aut C696C6:1(C6xD4)288,990
C6⋊2(C6×D4) = S3×C6×D4φ: C6×D4/C3×D4 → C2 ⊆ Aut C648C6:2(C6xD4)288,992
C6⋊3(C6×D4) = C2×C6×C3⋊D4φ: C6×D4/C22×C6 → C2 ⊆ Aut C648C6:3(C6xD4)288,1002

Non-split extensions G=N.Q with N=C6 and Q=C6×D4
extensionφ:Q→Aut NdρLabelID
C6.1(C6×D4) = C3×C12⋊2Q8φ: C6×D4/C2×C12 → C2 ⊆ Aut C696C6.1(C6xD4)288,640
C6.2(C6×D4) = C12×D12φ: C6×D4/C2×C12 → C2 ⊆ Aut C696C6.2(C6xD4)288,644
C6.3(C6×D4) = C3×C4⋊D12φ: C6×D4/C2×C12 → C2 ⊆ Aut C696C6.3(C6xD4)288,645
C6.4(C6×D4) = C3×C42⋊7S3φ: C6×D4/C2×C12 → C2 ⊆ Aut C696C6.4(C6xD4)288,646
C6.5(C6×D4) = C3×D6⋊D4φ: C6×D4/C2×C12 → C2 ⊆ Aut C648C6.5(C6xD4)288,653
C6.6(C6×D4) = C3×C23.21D6φ: C6×D4/C2×C12 → C2 ⊆ Aut C648C6.6(C6xD4)288,657
C6.7(C6×D4) = C3×C12⋊D4φ: C6×D4/C2×C12 → C2 ⊆ Aut C696C6.7(C6xD4)288,666
C6.8(C6×D4) = C3×C4.D12φ: C6×D4/C2×C12 → C2 ⊆ Aut C696C6.8(C6xD4)288,668
C6.9(C6×D4) = C6×C24⋊C2φ: C6×D4/C2×C12 → C2 ⊆ Aut C696C6.9(C6xD4)288,673
C6.10(C6×D4) = C6×D24φ: C6×D4/C2×C12 → C2 ⊆ Aut C696C6.10(C6xD4)288,674
C6.11(C6×D4) = C3×C4○D24φ: C6×D4/C2×C12 → C2 ⊆ Aut C6482C6.11(C6xD4)288,675
C6.12(C6×D4) = C6×Dic12φ: C6×D4/C2×C12 → C2 ⊆ Aut C696C6.12(C6xD4)288,676
C6.13(C6×D4) = C3×C8⋊D6φ: C6×D4/C2×C12 → C2 ⊆ Aut C6484C6.13(C6xD4)288,679
C6.14(C6×D4) = C3×C8.D6φ: C6×D4/C2×C12 → C2 ⊆ Aut C6484C6.14(C6xD4)288,680
C6.15(C6×D4) = C6×C4⋊Dic3φ: C6×D4/C2×C12 → C2 ⊆ Aut C696C6.15(C6xD4)288,696
C6.16(C6×D4) = C3×Dic3.D4φ: C6×D4/C3×D4 → C2 ⊆ Aut C648C6.16(C6xD4)288,649
C6.17(C6×D4) = C3×S3×C22⋊C4φ: C6×D4/C3×D4 → C2 ⊆ Aut C648C6.17(C6xD4)288,651
C6.18(C6×D4) = C3×Dic3⋊4D4φ: C6×D4/C3×D4 → C2 ⊆ Aut C648C6.18(C6xD4)288,652
C6.19(C6×D4) = C3×C23.9D6φ: C6×D4/C3×D4 → C2 ⊆ Aut C648C6.19(C6xD4)288,654
C6.20(C6×D4) = C3×Dic3⋊D4φ: C6×D4/C3×D4 → C2 ⊆ Aut C648C6.20(C6xD4)288,655
C6.21(C6×D4) = C3×C23.11D6φ: C6×D4/C3×D4 → C2 ⊆ Aut C648C6.21(C6xD4)288,656
C6.22(C6×D4) = C3×C12⋊Q8φ: C6×D4/C3×D4 → C2 ⊆ Aut C696C6.22(C6xD4)288,659
C6.23(C6×D4) = C3×S3×C4⋊C4φ: C6×D4/C3×D4 → C2 ⊆ Aut C696C6.23(C6xD4)288,662
C6.24(C6×D4) = C3×Dic3⋊5D4φ: C6×D4/C3×D4 → C2 ⊆ Aut C696C6.24(C6xD4)288,664
C6.25(C6×D4) = C3×D6.D4φ: C6×D4/C3×D4 → C2 ⊆ Aut C696C6.25(C6xD4)288,665
C6.26(C6×D4) = C3×D6⋊Q8φ: C6×D4/C3×D4 → C2 ⊆ Aut C696C6.26(C6xD4)288,667
C6.27(C6×D4) = C3×S3×D8φ: C6×D4/C3×D4 → C2 ⊆ Aut C6484C6.27(C6xD4)288,681
C6.28(C6×D4) = C3×D8⋊S3φ: C6×D4/C3×D4 → C2 ⊆ Aut C6484C6.28(C6xD4)288,682
C6.29(C6×D4) = C3×D8⋊3S3φ: C6×D4/C3×D4 → C2 ⊆ Aut C6484C6.29(C6xD4)288,683
C6.30(C6×D4) = C3×S3×SD16φ: C6×D4/C3×D4 → C2 ⊆ Aut C6484C6.30(C6xD4)288,684
C6.31(C6×D4) = C3×Q8⋊3D6φ: C6×D4/C3×D4 → C2 ⊆ Aut C6484C6.31(C6xD4)288,685
C6.32(C6×D4) = C3×D4.D6φ: C6×D4/C3×D4 → C2 ⊆ Aut C6484C6.32(C6xD4)288,686
C6.33(C6×D4) = C3×Q8.7D6φ: C6×D4/C3×D4 → C2 ⊆ Aut C6484C6.33(C6xD4)288,687
C6.34(C6×D4) = C3×S3×Q16φ: C6×D4/C3×D4 → C2 ⊆ Aut C6964C6.34(C6xD4)288,688
C6.35(C6×D4) = C3×Q16⋊S3φ: C6×D4/C3×D4 → C2 ⊆ Aut C6964C6.35(C6xD4)288,689
C6.36(C6×D4) = C3×D24⋊C2φ: C6×D4/C3×D4 → C2 ⊆ Aut C6964C6.36(C6xD4)288,690
C6.37(C6×D4) = C3×D4×Dic3φ: C6×D4/C3×D4 → C2 ⊆ Aut C648C6.37(C6xD4)288,705
C6.38(C6×D4) = C6×Dic3⋊C4φ: C6×D4/C22×C6 → C2 ⊆ Aut C696C6.38(C6xD4)288,694
C6.39(C6×D4) = C3×C12.48D4φ: C6×D4/C22×C6 → C2 ⊆ Aut C648C6.39(C6xD4)288,695
C6.40(C6×D4) = C6×D6⋊C4φ: C6×D4/C22×C6 → C2 ⊆ Aut C696C6.40(C6xD4)288,698
C6.41(C6×D4) = C12×C3⋊D4φ: C6×D4/C22×C6 → C2 ⊆ Aut C648C6.41(C6xD4)288,699
C6.42(C6×D4) = C3×C23.28D6φ: C6×D4/C22×C6 → C2 ⊆ Aut C648C6.42(C6xD4)288,700
C6.43(C6×D4) = C3×C12⋊7D4φ: C6×D4/C22×C6 → C2 ⊆ Aut C648C6.43(C6xD4)288,701
C6.44(C6×D4) = C6×D4⋊S3φ: C6×D4/C22×C6 → C2 ⊆ Aut C648C6.44(C6xD4)288,702
C6.45(C6×D4) = C3×D12⋊6C22φ: C6×D4/C22×C6 → C2 ⊆ Aut C6244C6.45(C6xD4)288,703
C6.46(C6×D4) = C6×D4.S3φ: C6×D4/C22×C6 → C2 ⊆ Aut C648C6.46(C6xD4)288,704
C6.47(C6×D4) = C3×C23.23D6φ: C6×D4/C22×C6 → C2 ⊆ Aut C648C6.47(C6xD4)288,706
C6.48(C6×D4) = C3×C23.12D6φ: C6×D4/C22×C6 → C2 ⊆ Aut C648C6.48(C6xD4)288,707
C6.49(C6×D4) = C3×C23⋊2D6φ: C6×D4/C22×C6 → C2 ⊆ Aut C648C6.49(C6xD4)288,708
C6.50(C6×D4) = C3×D6⋊3D4φ: C6×D4/C22×C6 → C2 ⊆ Aut C648C6.50(C6xD4)288,709
C6.51(C6×D4) = C3×C23.14D6φ: C6×D4/C22×C6 → C2 ⊆ Aut C648C6.51(C6xD4)288,710
C6.52(C6×D4) = C3×C12⋊3D4φ: C6×D4/C22×C6 → C2 ⊆ Aut C648C6.52(C6xD4)288,711
C6.53(C6×D4) = C6×Q8⋊2S3φ: C6×D4/C22×C6 → C2 ⊆ Aut C696C6.53(C6xD4)288,712
C6.54(C6×D4) = C3×Q8.11D6φ: C6×D4/C22×C6 → C2 ⊆ Aut C6484C6.54(C6xD4)288,713
C6.55(C6×D4) = C6×C3⋊Q16φ: C6×D4/C22×C6 → C2 ⊆ Aut C696C6.55(C6xD4)288,714
C6.56(C6×D4) = C3×Dic3⋊Q8φ: C6×D4/C22×C6 → C2 ⊆ Aut C696C6.56(C6xD4)288,715
C6.57(C6×D4) = C3×D6⋊3Q8φ: C6×D4/C22×C6 → C2 ⊆ Aut C696C6.57(C6xD4)288,717
C6.58(C6×D4) = C3×C12.23D4φ: C6×D4/C22×C6 → C2 ⊆ Aut C696C6.58(C6xD4)288,718
C6.59(C6×D4) = C3×D4⋊D6φ: C6×D4/C22×C6 → C2 ⊆ Aut C6484C6.59(C6xD4)288,720
C6.60(C6×D4) = C3×Q8.13D6φ: C6×D4/C22×C6 → C2 ⊆ Aut C6484C6.60(C6xD4)288,721
C6.61(C6×D4) = C3×Q8.14D6φ: C6×D4/C22×C6 → C2 ⊆ Aut C6484C6.61(C6xD4)288,722
C6.62(C6×D4) = C6×C6.D4φ: C6×D4/C22×C6 → C2 ⊆ Aut C648C6.62(C6xD4)288,723
C6.63(C6×D4) = C3×C24⋊4S3φ: C6×D4/C22×C6 → C2 ⊆ Aut C624C6.63(C6xD4)288,724
C6.64(C6×D4) = C22⋊C4×C18central extension (φ=1)144C6.64(C6xD4)288,165
C6.65(C6×D4) = C4⋊C4×C18central extension (φ=1)288C6.65(C6xD4)288,166
C6.66(C6×D4) = D4×C36central extension (φ=1)144C6.66(C6xD4)288,168
C6.67(C6×D4) = C9×C22≀C2central extension (φ=1)72C6.67(C6xD4)288,170
C6.68(C6×D4) = C9×C4⋊D4central extension (φ=1)144C6.68(C6xD4)288,171
C6.69(C6×D4) = C9×C22⋊Q8central extension (φ=1)144C6.69(C6xD4)288,172
C6.70(C6×D4) = C9×C22.D4central extension (φ=1)144C6.70(C6xD4)288,173
C6.71(C6×D4) = C9×C4.4D4central extension (φ=1)144C6.71(C6xD4)288,174
C6.72(C6×D4) = C9×C4⋊1D4central extension (φ=1)144C6.72(C6xD4)288,177
C6.73(C6×D4) = C9×C4⋊Q8central extension (φ=1)288C6.73(C6xD4)288,178
C6.74(C6×D4) = D8×C18central extension (φ=1)144C6.74(C6xD4)288,182
C6.75(C6×D4) = SD16×C18central extension (φ=1)144C6.75(C6xD4)288,183
C6.76(C6×D4) = Q16×C18central extension (φ=1)288C6.76(C6xD4)288,184
C6.77(C6×D4) = C9×C4○D8central extension (φ=1)1442C6.77(C6xD4)288,185
C6.78(C6×D4) = C9×C8⋊C22central extension (φ=1)724C6.78(C6xD4)288,186
C6.79(C6×D4) = C9×C8.C22central extension (φ=1)1444C6.79(C6xD4)288,187
C6.80(C6×D4) = D4×C2×C18central extension (φ=1)144C6.80(C6xD4)288,368
C6.81(C6×D4) = C22⋊C4×C3×C6central extension (φ=1)144C6.81(C6xD4)288,812
C6.82(C6×D4) = C4⋊C4×C3×C6central extension (φ=1)288C6.82(C6xD4)288,813
C6.83(C6×D4) = D4×C3×C12central extension (φ=1)144C6.83(C6xD4)288,815
C6.84(C6×D4) = C32×C22≀C2central extension (φ=1)72C6.84(C6xD4)288,817
C6.85(C6×D4) = C32×C4⋊D4central extension (φ=1)144C6.85(C6xD4)288,818
C6.86(C6×D4) = C32×C22⋊Q8central extension (φ=1)144C6.86(C6xD4)288,819
C6.87(C6×D4) = C32×C22.D4central extension (φ=1)144C6.87(C6xD4)288,820
C6.88(C6×D4) = C32×C4.4D4central extension (φ=1)144C6.88(C6xD4)288,821
C6.89(C6×D4) = C32×C4⋊1D4central extension (φ=1)144C6.89(C6xD4)288,824
C6.90(C6×D4) = C32×C4⋊Q8central extension (φ=1)288C6.90(C6xD4)288,825
C6.91(C6×D4) = D8×C3×C6central extension (φ=1)144C6.91(C6xD4)288,829
C6.92(C6×D4) = SD16×C3×C6central extension (φ=1)144C6.92(C6xD4)288,830
C6.93(C6×D4) = Q16×C3×C6central extension (φ=1)288C6.93(C6xD4)288,831
C6.94(C6×D4) = C32×C4○D8central extension (φ=1)144C6.94(C6xD4)288,832
C6.95(C6×D4) = C32×C8⋊C22central extension (φ=1)72C6.95(C6xD4)288,833
C6.96(C6×D4) = C32×C8.C22central extension (φ=1)144C6.96(C6xD4)288,834

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁