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

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

Direct product G=N×Q with N=C22 and Q=C6×Q8
dρLabelID
Q8×C22×C6192Q8xC2^2xC6192,1532

Semidirect products G=N:Q with N=C22 and Q=C6×Q8
extensionφ:Q→Aut NdρLabelID
C22⋊(C6×Q8) = C2×Q8×A4φ: C6×Q8/C2×Q8 → C3 ⊆ Aut C2248C2^2:(C6xQ8)192,1499
C22⋊2(C6×Q8) = C6×C22⋊Q8φ: C6×Q8/C2×C12 → C2 ⊆ Aut C2296C2^2:2(C6xQ8)192,1412
C22⋊3(C6×Q8) = C3×D4×Q8φ: C6×Q8/C3×Q8 → C2 ⊆ Aut C2296C2^2:3(C6xQ8)192,1438

Non-split extensions G=N.Q with N=C22 and Q=C6×Q8
extensionφ:Q→Aut NdρLabelID
C22.1(C6×Q8) = C6×C8.C4φ: C6×Q8/C2×C12 → C2 ⊆ Aut C2296C2^2.1(C6xQ8)192,862
C22.2(C6×Q8) = C3×M4(2).C4φ: C6×Q8/C2×C12 → C2 ⊆ Aut C22484C2^2.2(C6xQ8)192,863
C22.3(C6×Q8) = C3×C23.37C23φ: C6×Q8/C2×C12 → C2 ⊆ Aut C2296C2^2.3(C6xQ8)192,1422
C22.4(C6×Q8) = C3×C23⋊2Q8φ: C6×Q8/C2×C12 → C2 ⊆ Aut C2248C2^2.4(C6xQ8)192,1432
C22.5(C6×Q8) = C3×C23.41C23φ: C6×Q8/C2×C12 → C2 ⊆ Aut C2296C2^2.5(C6xQ8)192,1433
C22.6(C6×Q8) = C3×D4⋊3Q8φ: C6×Q8/C3×Q8 → C2 ⊆ Aut C2296C2^2.6(C6xQ8)192,1443
C22.7(C6×Q8) = C6×C2.C42central extension (φ=1)192C2^2.7(C6xQ8)192,808
C22.8(C6×Q8) = C12×C4⋊C4central extension (φ=1)192C2^2.8(C6xQ8)192,811
C22.9(C6×Q8) = C3×C23.7Q8central extension (φ=1)96C2^2.9(C6xQ8)192,813
C22.10(C6×Q8) = C3×C42⋊8C4central extension (φ=1)192C2^2.10(C6xQ8)192,815
C22.11(C6×Q8) = C3×C42⋊9C4central extension (φ=1)192C2^2.11(C6xQ8)192,817
C22.12(C6×Q8) = C3×C23.8Q8central extension (φ=1)96C2^2.12(C6xQ8)192,818
C22.13(C6×Q8) = C3×C23.63C23central extension (φ=1)192C2^2.13(C6xQ8)192,820
C22.14(C6×Q8) = C3×C23.65C23central extension (φ=1)192C2^2.14(C6xQ8)192,822
C22.15(C6×Q8) = C3×C23.67C23central extension (φ=1)192C2^2.15(C6xQ8)192,824
C22.16(C6×Q8) = C2×C6×C4⋊C4central extension (φ=1)192C2^2.16(C6xQ8)192,1402
C22.17(C6×Q8) = Q8×C2×C12central extension (φ=1)192C2^2.17(C6xQ8)192,1405
C22.18(C6×Q8) = C6×C42.C2central extension (φ=1)192C2^2.18(C6xQ8)192,1416
C22.19(C6×Q8) = C6×C4⋊Q8central extension (φ=1)192C2^2.19(C6xQ8)192,1420
C22.20(C6×Q8) = C3×C23⋊Q8central stem extension (φ=1)96C2^2.20(C6xQ8)192,826
C22.21(C6×Q8) = C3×C23.78C23central stem extension (φ=1)192C2^2.21(C6xQ8)192,828
C22.22(C6×Q8) = C3×C23.Q8central stem extension (φ=1)96C2^2.22(C6xQ8)192,829
C22.23(C6×Q8) = C3×C23.81C23central stem extension (φ=1)192C2^2.23(C6xQ8)192,831
C22.24(C6×Q8) = C3×C23.4Q8central stem extension (φ=1)96C2^2.24(C6xQ8)192,832
C22.25(C6×Q8) = C3×C23.83C23central stem extension (φ=1)192C2^2.25(C6xQ8)192,833

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁