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

Extensions 1→N→G→Q→1 with N=C2×Dic22 and Q=C2

Direct product G=N×Q with N=C2×Dic22 and Q=C2
dρLabelID
C22×Dic22352C2^2xDic22352,173

Semidirect products G=N:Q with N=C2×Dic22 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×Dic22)⋊1C2 = C4.D44φ: C2/C1 → C2 ⊆ Out C2×Dic22176(C2xDic22):1C2352,70
(C2×Dic22)⋊2C2 = C22⋊Dic22φ: C2/C1 → C2 ⊆ Out C2×Dic22176(C2xDic22):2C2352,73
(C2×Dic22)⋊3C2 = Dic11.D4φ: C2/C1 → C2 ⊆ Out C2×Dic22176(C2xDic22):3C2352,80
(C2×Dic22)⋊4C2 = D22⋊Q8φ: C2/C1 → C2 ⊆ Out C2×Dic22176(C2xDic22):4C2352,91
(C2×Dic22)⋊5C2 = C2×C8⋊D11φ: C2/C1 → C2 ⊆ Out C2×Dic22176(C2xDic22):5C2352,97
(C2×Dic22)⋊6C2 = C44.48D4φ: C2/C1 → C2 ⊆ Out C2×Dic22176(C2xDic22):6C2352,119
(C2×Dic22)⋊7C2 = D22⋊2Q8φ: C2/C1 → C2 ⊆ Out C2×Dic22176(C2xDic22):7C2352,92
(C2×Dic22)⋊8C2 = C8.D22φ: C2/C1 → C2 ⊆ Out C2×Dic221764-(C2xDic22):8C2352,104
(C2×Dic22)⋊9C2 = C2×D4.D11φ: C2/C1 → C2 ⊆ Out C2×Dic22176(C2xDic22):9C2352,128
(C2×Dic22)⋊10C2 = C44.17D4φ: C2/C1 → C2 ⊆ Out C2×Dic22176(C2xDic22):10C2352,131
(C2×Dic22)⋊11C2 = D4.9D22φ: C2/C1 → C2 ⊆ Out C2×Dic221764-(C2xDic22):11C2352,146
(C2×Dic22)⋊12C2 = C2×D4⋊2D11φ: C2/C1 → C2 ⊆ Out C2×Dic22176(C2xDic22):12C2352,178
(C2×Dic22)⋊13C2 = C2×Q8×D11φ: C2/C1 → C2 ⊆ Out C2×Dic22176(C2xDic22):13C2352,180
(C2×Dic22)⋊14C2 = D4.10D22φ: C2/C1 → C2 ⊆ Out C2×Dic221764-(C2xDic22):14C2352,185
(C2×Dic22)⋊15C2 = C2×D44⋊5C2φ: trivial image176(C2xDic22):15C2352,176

Non-split extensions G=N.Q with N=C2×Dic22 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×Dic22).1C2 = C44.44D4φ: C2/C1 → C2 ⊆ Out C2×Dic22352(C2xDic22).1C2352,22
(C2×Dic22).2C2 = C44⋊2Q8φ: C2/C1 → C2 ⊆ Out C2×Dic22352(C2xDic22).2C2352,64
(C2×Dic22).3C2 = C44⋊Q8φ: C2/C1 → C2 ⊆ Out C2×Dic22352(C2xDic22).3C2352,83
(C2×Dic22).4C2 = C2×Dic44φ: C2/C1 → C2 ⊆ Out C2×Dic22352(C2xDic22).4C2352,100
(C2×Dic22).5C2 = C22.Q16φ: C2/C1 → C2 ⊆ Out C2×Dic22352(C2xDic22).5C2352,16
(C2×Dic22).6C2 = C44.47D4φ: C2/C1 → C2 ⊆ Out C2×Dic221764-(C2xDic22).6C2352,30
(C2×Dic22).7C2 = Dic22⋊C4φ: C2/C1 → C2 ⊆ Out C2×Dic22352(C2xDic22).7C2352,82
(C2×Dic22).8C2 = C2×C11⋊Q16φ: C2/C1 → C2 ⊆ Out C2×Dic22352(C2xDic22).8C2352,138
(C2×Dic22).9C2 = Dic11⋊Q8φ: C2/C1 → C2 ⊆ Out C2×Dic22352(C2xDic22).9C2352,139
(C2×Dic22).10C2 = C4×Dic22φ: trivial image352(C2xDic22).10C2352,63

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁