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

Extensions 1→N→G→Q→1 with N=C12 and Q=C2×C8

Direct product G=N×Q with N=C12 and Q=C2×C8
dρLabelID
C2×C4×C24192C2xC4xC24192,835

Semidirect products G=N:Q with N=C12 and Q=C2×C8
extensionφ:Q→Aut NdρLabelID
C12⋊1(C2×C8) = S3×C4⋊C8φ: C2×C8/C4 → C22 ⊆ Aut C1296C12:1(C2xC8)192,391
C12⋊2(C2×C8) = D12⋊C8φ: C2×C8/C4 → C22 ⊆ Aut C1296C12:2(C2xC8)192,393
C12⋊3(C2×C8) = D4×C3⋊C8φ: C2×C8/C4 → C22 ⊆ Aut C1296C12:3(C2xC8)192,569
C12⋊4(C2×C8) = C8×D12φ: C2×C8/C8 → C2 ⊆ Aut C1296C12:4(C2xC8)192,245
C12⋊5(C2×C8) = S3×C4×C8φ: C2×C8/C8 → C2 ⊆ Aut C1296C12:5(C2xC8)192,243
C12⋊6(C2×C8) = D4×C24φ: C2×C8/C8 → C2 ⊆ Aut C1296C12:6(C2xC8)192,867
C12⋊7(C2×C8) = C2×C12⋊C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C12192C12:7(C2xC8)192,482
C12⋊8(C2×C8) = C2×C4×C3⋊C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C12192C12:8(C2xC8)192,479
C12⋊9(C2×C8) = C6×C4⋊C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C12192C12:9(C2xC8)192,855

Non-split extensions G=N.Q with N=C12 and Q=C2×C8
extensionφ:Q→Aut NdρLabelID
C12.1(C2×C8) = C12.53D8φ: C2×C8/C4 → C22 ⊆ Aut C12192C12.1(C2xC8)192,38
C12.2(C2×C8) = C12.39SD16φ: C2×C8/C4 → C22 ⊆ Aut C12192C12.2(C2xC8)192,39
C12.3(C2×C8) = D12⋊2C8φ: C2×C8/C4 → C22 ⊆ Aut C1296C12.3(C2xC8)192,42
C12.4(C2×C8) = Dic6⋊2C8φ: C2×C8/C4 → C22 ⊆ Aut C12192C12.4(C2xC8)192,43
C12.5(C2×C8) = C24.97D4φ: C2×C8/C4 → C22 ⊆ Aut C12484C12.5(C2xC8)192,70
C12.6(C2×C8) = Dic6.C8φ: C2×C8/C4 → C22 ⊆ Aut C12964C12.6(C2xC8)192,74
C12.7(C2×C8) = C12.57D8φ: C2×C8/C4 → C22 ⊆ Aut C1296C12.7(C2xC8)192,93
C12.8(C2×C8) = C12.26Q16φ: C2×C8/C4 → C22 ⊆ Aut C12192C12.8(C2xC8)192,94
C12.9(C2×C8) = C24.99D4φ: C2×C8/C4 → C22 ⊆ Aut C12964C12.9(C2xC8)192,120
C12.10(C2×C8) = Dic6⋊C8φ: C2×C8/C4 → C22 ⊆ Aut C12192C12.10(C2xC8)192,389
C12.11(C2×C8) = C42.200D6φ: C2×C8/C4 → C22 ⊆ Aut C1296C12.11(C2xC8)192,392
C12.12(C2×C8) = S3×M5(2)φ: C2×C8/C4 → C22 ⊆ Aut C12484C12.12(C2xC8)192,465
C12.13(C2×C8) = C16.12D6φ: C2×C8/C4 → C22 ⊆ Aut C12964C12.13(C2xC8)192,466
C12.14(C2×C8) = Q8×C3⋊C8φ: C2×C8/C4 → C22 ⊆ Aut C12192C12.14(C2xC8)192,582
C12.15(C2×C8) = C24.78C23φ: C2×C8/C4 → C22 ⊆ Aut C12964C12.15(C2xC8)192,699
C12.16(C2×C8) = C4.8Dic12φ: C2×C8/C8 → C2 ⊆ Aut C12192C12.16(C2xC8)192,15
C12.17(C2×C8) = C4.17D24φ: C2×C8/C8 → C2 ⊆ Aut C1296C12.17(C2xC8)192,18
C12.18(C2×C8) = D12.C8φ: C2×C8/C8 → C2 ⊆ Aut C12962C12.18(C2xC8)192,67
C12.19(C2×C8) = C8×Dic6φ: C2×C8/C8 → C2 ⊆ Aut C12192C12.19(C2xC8)192,237
C12.20(C2×C8) = D12.4C8φ: C2×C8/C8 → C2 ⊆ Aut C12962C12.20(C2xC8)192,460
C12.21(C2×C8) = S3×C32φ: C2×C8/C8 → C2 ⊆ Aut C12962C12.21(C2xC8)192,5
C12.22(C2×C8) = C96⋊C2φ: C2×C8/C8 → C2 ⊆ Aut C12962C12.22(C2xC8)192,6
C12.23(C2×C8) = C8×C3⋊C8φ: C2×C8/C8 → C2 ⊆ Aut C12192C12.23(C2xC8)192,12
C12.24(C2×C8) = C42.279D6φ: C2×C8/C8 → C2 ⊆ Aut C12192C12.24(C2xC8)192,13
C12.25(C2×C8) = Dic3×C16φ: C2×C8/C8 → C2 ⊆ Aut C12192C12.25(C2xC8)192,59
C12.26(C2×C8) = C48⋊10C4φ: C2×C8/C8 → C2 ⊆ Aut C12192C12.26(C2xC8)192,61
C12.27(C2×C8) = C42.282D6φ: C2×C8/C8 → C2 ⊆ Aut C1296C12.27(C2xC8)192,244
C12.28(C2×C8) = S3×C2×C16φ: C2×C8/C8 → C2 ⊆ Aut C1296C12.28(C2xC8)192,458
C12.29(C2×C8) = C2×D6.C8φ: C2×C8/C8 → C2 ⊆ Aut C1296C12.29(C2xC8)192,459
C12.30(C2×C8) = C3×D4⋊C8φ: C2×C8/C8 → C2 ⊆ Aut C1296C12.30(C2xC8)192,131
C12.31(C2×C8) = C3×Q8⋊C8φ: C2×C8/C8 → C2 ⊆ Aut C12192C12.31(C2xC8)192,132
C12.32(C2×C8) = C3×D4.C8φ: C2×C8/C8 → C2 ⊆ Aut C12962C12.32(C2xC8)192,156
C12.33(C2×C8) = Q8×C24φ: C2×C8/C8 → C2 ⊆ Aut C12192C12.33(C2xC8)192,878
C12.34(C2×C8) = C3×D4○C16φ: C2×C8/C8 → C2 ⊆ Aut C12962C12.34(C2xC8)192,937
C12.35(C2×C8) = C24⋊2C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C12192C12.35(C2xC8)192,16
C12.36(C2×C8) = C24⋊1C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C12192C12.36(C2xC8)192,17
C12.37(C2×C8) = C24.1C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C12482C12.37(C2xC8)192,22
C12.38(C2×C8) = C42.285D6φ: C2×C8/C2×C4 → C2 ⊆ Aut C1296C12.38(C2xC8)192,484
C12.39(C2×C8) = C24⋊C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C12192C12.39(C2xC8)192,14
C12.40(C2×C8) = C4×C3⋊C16φ: C2×C8/C2×C4 → C2 ⊆ Aut C12192C12.40(C2xC8)192,19
C12.41(C2×C8) = C24.C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C12192C12.41(C2xC8)192,20
C12.42(C2×C8) = C2×C3⋊C32φ: C2×C8/C2×C4 → C2 ⊆ Aut C12192C12.42(C2xC8)192,57
C12.43(C2×C8) = C3⋊M6(2)φ: C2×C8/C2×C4 → C2 ⊆ Aut C12962C12.43(C2xC8)192,58
C12.44(C2×C8) = C22×C3⋊C16φ: C2×C8/C2×C4 → C2 ⊆ Aut C12192C12.44(C2xC8)192,655
C12.45(C2×C8) = C2×C12.C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C1296C12.45(C2xC8)192,656
C12.46(C2×C8) = C3×C8⋊2C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C12192C12.46(C2xC8)192,140
C12.47(C2×C8) = C3×C8⋊1C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C12192C12.47(C2xC8)192,141
C12.48(C2×C8) = C3×C8.C8φ: C2×C8/C2×C4 → C2 ⊆ Aut C12482C12.48(C2xC8)192,170
C12.49(C2×C8) = C3×C42.12C4φ: C2×C8/C2×C4 → C2 ⊆ Aut C1296C12.49(C2xC8)192,864
C12.50(C2×C8) = C6×M5(2)φ: C2×C8/C2×C4 → C2 ⊆ Aut C1296C12.50(C2xC8)192,936
C12.51(C2×C8) = C3×C8⋊C8central extension (φ=1)192C12.51(C2xC8)192,128
C12.52(C2×C8) = C3×C16⋊5C4central extension (φ=1)192C12.52(C2xC8)192,152
C12.53(C2×C8) = C3×M6(2)central extension (φ=1)962C12.53(C2xC8)192,176

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁