Extensions 1→N→G→Q→1 with N=D22⋊C4 and Q=C2

Direct product G=N×Q with N=D22⋊C4 and Q=C2
dρLabelID
C2×D22⋊C4176C2xD22:C4352,122

Semidirect products G=N:Q with N=D22⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
D22⋊C41C2 = C4.D44φ: C2/C1C2 ⊆ Out D22⋊C4176D22:C4:1C2352,70
D22⋊C42C2 = C23.23D22φ: C2/C1C2 ⊆ Out D22⋊C4176D22:C4:2C2352,124
D22⋊C43C2 = C447D4φ: C2/C1C2 ⊆ Out D22⋊C4176D22:C4:3C2352,125
D22⋊C44C2 = C22⋊D44φ: C2/C1C2 ⊆ Out D22⋊C488D22:C4:4C2352,77
D22⋊C45C2 = D22.D4φ: C2/C1C2 ⊆ Out D22⋊C4176D22:C4:5C2352,78
D22⋊C46C2 = Dic11.D4φ: C2/C1C2 ⊆ Out D22⋊C4176D22:C4:6C2352,80
D22⋊C47C2 = C22.D44φ: C2/C1C2 ⊆ Out D22⋊C4176D22:C4:7C2352,81
D22⋊C48C2 = C42D44φ: C2/C1C2 ⊆ Out D22⋊C4176D22:C4:8C2352,90
D22⋊C49C2 = C22⋊C4×D11φ: C2/C1C2 ⊆ Out D22⋊C488D22:C4:9C2352,75
D22⋊C410C2 = Dic114D4φ: C2/C1C2 ⊆ Out D22⋊C4176D22:C4:10C2352,76
D22⋊C411C2 = D22⋊D4φ: C2/C1C2 ⊆ Out D22⋊C4176D22:C4:11C2352,79
D22⋊C412C2 = D44⋊C4φ: C2/C1C2 ⊆ Out D22⋊C4176D22:C4:12C2352,88
D22⋊C413C2 = D22.5D4φ: C2/C1C2 ⊆ Out D22⋊C4176D22:C4:13C2352,89
D22⋊C414C2 = C23⋊D22φ: C2/C1C2 ⊆ Out D22⋊C488D22:C4:14C2352,132
D22⋊C415C2 = Dic11⋊D4φ: C2/C1C2 ⊆ Out D22⋊C4176D22:C4:15C2352,134
D22⋊C416C2 = C44.23D4φ: C2/C1C2 ⊆ Out D22⋊C4176D22:C4:16C2352,142
D22⋊C417C2 = C4×D44φ: trivial image176D22:C4:17C2352,68
D22⋊C418C2 = C4×C11⋊D4φ: trivial image176D22:C4:18C2352,123

Non-split extensions G=N.Q with N=D22⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
D22⋊C4.1C2 = C422D11φ: C2/C1C2 ⊆ Out D22⋊C4176D22:C4.1C2352,71
D22⋊C4.2C2 = D22⋊Q8φ: C2/C1C2 ⊆ Out D22⋊C4176D22:C4.2C2352,91
D22⋊C4.3C2 = D222Q8φ: C2/C1C2 ⊆ Out D22⋊C4176D22:C4.3C2352,92
D22⋊C4.4C2 = C4⋊C47D11φ: C2/C1C2 ⊆ Out D22⋊C4176D22:C4.4C2352,87
D22⋊C4.5C2 = C4⋊C4⋊D11φ: C2/C1C2 ⊆ Out D22⋊C4176D22:C4.5C2352,93
D22⋊C4.6C2 = D223Q8φ: C2/C1C2 ⊆ Out D22⋊C4176D22:C4.6C2352,141
D22⋊C4.7C2 = C42⋊D11φ: trivial image176D22:C4.7C2352,67

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