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

Extensions 1→N→G→Q→1 with N=C3×C4.D4 and Q=C2

Direct product G=N×Q with N=C3×C4.D4 and Q=C2
dρLabelID
C6×C4.D448C6xC4.D4192,844

Semidirect products G=N:Q with N=C3×C4.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C4.D4)⋊1C2 = D12.2D4φ: C2/C1 → C2 ⊆ Out C3×C4.D4488-(C3xC4.D4):1C2192,307
(C3×C4.D4)⋊2C2 = D12.3D4φ: C2/C1 → C2 ⊆ Out C3×C4.D4488+(C3xC4.D4):2C2192,308
(C3×C4.D4)⋊3C2 = M4(2)⋊D6φ: C2/C1 → C2 ⊆ Out C3×C4.D4488-(C3xC4.D4):3C2192,305
(C3×C4.D4)⋊4C2 = D12⋊1D4φ: C2/C1 → C2 ⊆ Out C3×C4.D4248+(C3xC4.D4):4C2192,306
(C3×C4.D4)⋊5C2 = C3×D4⋊4D4φ: C2/C1 → C2 ⊆ Out C3×C4.D4244(C3xC4.D4):5C2192,886
(C3×C4.D4)⋊6C2 = C3×D4.9D4φ: C2/C1 → C2 ⊆ Out C3×C4.D4484(C3xC4.D4):6C2192,888
(C3×C4.D4)⋊7C2 = C3×D4.3D4φ: C2/C1 → C2 ⊆ Out C3×C4.D4484(C3xC4.D4):7C2192,904
(C3×C4.D4)⋊8C2 = C3×D4.4D4φ: C2/C1 → C2 ⊆ Out C3×C4.D4484(C3xC4.D4):8C2192,905
(C3×C4.D4)⋊9C2 = S3×C4.D4φ: C2/C1 → C2 ⊆ Out C3×C4.D4248+(C3xC4.D4):9C2192,303
(C3×C4.D4)⋊10C2 = M4(2).19D6φ: C2/C1 → C2 ⊆ Out C3×C4.D4488-(C3xC4.D4):10C2192,304
(C3×C4.D4)⋊11C2 = C23.3D12φ: C2/C1 → C2 ⊆ Out C3×C4.D4248+(C3xC4.D4):11C2192,34
(C3×C4.D4)⋊12C2 = C3×C2≀C4φ: C2/C1 → C2 ⊆ Out C3×C4.D4244(C3xC4.D4):12C2192,157
(C3×C4.D4)⋊13C2 = C3×M4(2).8C22φ: trivial image484(C3xC4.D4):13C2192,846

Non-split extensions G=N.Q with N=C3×C4.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C4.D4).1C2 = C23.4D12φ: C2/C1 → C2 ⊆ Out C3×C4.D4488-(C3xC4.D4).1C2192,35
(C3×C4.D4).2C2 = C3×C23.D4φ: C2/C1 → C2 ⊆ Out C3×C4.D4484(C3xC4.D4).2C2192,158

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁