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

Extensions 1→N→G→Q→1 with N=C12 and Q=C5×Q8

Direct product G=N×Q with N=C12 and Q=C5×Q8
dρLabelID
Q8×C60480Q8xC60480,924

Semidirect products G=N:Q with N=C12 and Q=C5×Q8
extensionφ:Q→Aut NdρLabelID
C12⋊(C5×Q8) = C5×C12⋊Q8φ: C5×Q8/C10 → C22 ⊆ Aut C12480C12:(C5xQ8)480,767
C12⋊2(C5×Q8) = C5×C12⋊2Q8φ: C5×Q8/C20 → C2 ⊆ Aut C12480C12:2(C5xQ8)480,748
C12⋊3(C5×Q8) = C20×Dic6φ: C5×Q8/C20 → C2 ⊆ Aut C12480C12:3(C5xQ8)480,747
C12⋊4(C5×Q8) = C15×C4⋊Q8φ: C5×Q8/C20 → C2 ⊆ Aut C12480C12:4(C5xQ8)480,933

Non-split extensions G=N.Q with N=C12 and Q=C5×Q8
extensionφ:Q→Aut NdρLabelID
C12.1(C5×Q8) = C5×C6.Q16φ: C5×Q8/C10 → C22 ⊆ Aut C12480C12.1(C5xQ8)480,126
C12.2(C5×Q8) = C5×C12.Q8φ: C5×Q8/C10 → C22 ⊆ Aut C12480C12.2(C5xQ8)480,127
C12.3(C5×Q8) = C5×C4.Dic6φ: C5×Q8/C10 → C22 ⊆ Aut C12480C12.3(C5xQ8)480,769
C12.4(C5×Q8) = C5×C8⋊Dic3φ: C5×Q8/C20 → C2 ⊆ Aut C12480C12.4(C5xQ8)480,136
C12.5(C5×Q8) = C5×C24⋊1C4φ: C5×Q8/C20 → C2 ⊆ Aut C12480C12.5(C5xQ8)480,137
C12.6(C5×Q8) = C5×C12.6Q8φ: C5×Q8/C20 → C2 ⊆ Aut C12480C12.6(C5xQ8)480,749
C12.7(C5×Q8) = C5×C12⋊C8φ: C5×Q8/C20 → C2 ⊆ Aut C12480C12.7(C5xQ8)480,123
C12.8(C5×Q8) = C5×Dic3⋊C8φ: C5×Q8/C20 → C2 ⊆ Aut C12480C12.8(C5xQ8)480,133
C12.9(C5×Q8) = C15×C4.Q8φ: C5×Q8/C20 → C2 ⊆ Aut C12480C12.9(C5xQ8)480,209
C12.10(C5×Q8) = C15×C2.D8φ: C5×Q8/C20 → C2 ⊆ Aut C12480C12.10(C5xQ8)480,210
C12.11(C5×Q8) = C15×C42.C2φ: C5×Q8/C20 → C2 ⊆ Aut C12480C12.11(C5xQ8)480,930
C12.12(C5×Q8) = C15×C4⋊C8central extension (φ=1)480C12.12(C5xQ8)480,208

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁