Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
x
:
.
o
wr

Extensions 1→N→G→Q→1 with N=Dic11:C4 and Q=C2

Direct product G=NxQ with N=Dic11:C4 and Q=C2
dρLabelID
C2xDic11:C4352C2xDic11:C4352,118

Semidirect products G=N:Q with N=Dic11:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic11:C4:1C2 = C42:2D11φ: C2/C1 → C2 ⊆ Out Dic11:C4176Dic11:C4:1C2352,71
Dic11:C4:2C2 = C44.48D4φ: C2/C1 → C2 ⊆ Out Dic11:C4176Dic11:C4:2C2352,119
Dic11:C4:3C2 = C23.23D22φ: C2/C1 → C2 ⊆ Out Dic11:C4176Dic11:C4:3C2352,124
Dic11:C4:4C2 = C22:Dic22φ: C2/C1 → C2 ⊆ Out Dic11:C4176Dic11:C4:4C2352,73
Dic11:C4:5C2 = D22:D4φ: C2/C1 → C2 ⊆ Out Dic11:C4176Dic11:C4:5C2352,79
Dic11:C4:6C2 = D22.5D4φ: C2/C1 → C2 ⊆ Out Dic11:C4176Dic11:C4:6C2352,89
Dic11:C4:7C2 = C23.11D22φ: C2/C1 → C2 ⊆ Out Dic11:C4176Dic11:C4:7C2352,72
Dic11:C4:8C2 = C23.D22φ: C2/C1 → C2 ⊆ Out Dic11:C4176Dic11:C4:8C2352,74
Dic11:C4:9C2 = Dic11:4D4φ: C2/C1 → C2 ⊆ Out Dic11:C4176Dic11:C4:9C2352,76
Dic11:C4:10C2 = D22.D4φ: C2/C1 → C2 ⊆ Out Dic11:C4176Dic11:C4:10C2352,78
Dic11:C4:11C2 = C4:C4xD11φ: C2/C1 → C2 ⊆ Out Dic11:C4176Dic11:C4:11C2352,86
Dic11:C4:12C2 = D22:Q8φ: C2/C1 → C2 ⊆ Out Dic11:C4176Dic11:C4:12C2352,91
Dic11:C4:13C2 = C4:C4:D11φ: C2/C1 → C2 ⊆ Out Dic11:C4176Dic11:C4:13C2352,93
Dic11:C4:14C2 = C23.18D22φ: C2/C1 → C2 ⊆ Out Dic11:C4176Dic11:C4:14C2352,130
Dic11:C4:15C2 = Dic11:D4φ: C2/C1 → C2 ⊆ Out Dic11:C4176Dic11:C4:15C2352,134
Dic11:C4:16C2 = D22:3Q8φ: C2/C1 → C2 ⊆ Out Dic11:C4176Dic11:C4:16C2352,141
Dic11:C4:17C2 = C42:D11φ: trivial image176Dic11:C4:17C2352,67
Dic11:C4:18C2 = C4xC11:D4φ: trivial image176Dic11:C4:18C2352,123

Non-split extensions G=N.Q with N=Dic11:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic11:C4.1C2 = C44.6Q8φ: C2/C1 → C2 ⊆ Out Dic11:C4352Dic11:C4.1C2352,65
Dic11:C4.2C2 = C44:Q8φ: C2/C1 → C2 ⊆ Out Dic11:C4352Dic11:C4.2C2352,83
Dic11:C4.3C2 = C44.3Q8φ: C2/C1 → C2 ⊆ Out Dic11:C4352Dic11:C4.3C2352,85
Dic11:C4.4C2 = Dic22:C4φ: C2/C1 → C2 ⊆ Out Dic11:C4352Dic11:C4.4C2352,82
Dic11:C4.5C2 = Dic11.Q8φ: C2/C1 → C2 ⊆ Out Dic11:C4352Dic11:C4.5C2352,84
Dic11:C4.6C2 = Dic11:Q8φ: C2/C1 → C2 ⊆ Out Dic11:C4352Dic11:C4.6C2352,139
Dic11:C4.7C2 = C4xDic22φ: trivial image352Dic11:C4.7C2352,63

׿
x
:
Z
F
o
wr
Q
<