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Extensions 1→N→G→Q→1 with N=C44⋊C4 and Q=C2

Direct product G=N×Q with N=C44⋊C4 and Q=C2
dρLabelID
C2×C44⋊C4352C2xC44:C4352,120

Semidirect products G=N:Q with N=C44⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C44⋊C4⋊1C2 = C2.D88φ: C2/C1 → C2 ⊆ Out C44⋊C4176C44:C4:1C2352,27
C44⋊C4⋊2C2 = C22⋊Dic22φ: C2/C1 → C2 ⊆ Out C44⋊C4176C44:C4:2C2352,73
C44⋊C4⋊3C2 = C23.D22φ: C2/C1 → C2 ⊆ Out C44⋊C4176C44:C4:3C2352,74
C44⋊C4⋊4C2 = D22.D4φ: C2/C1 → C2 ⊆ Out C44⋊C4176C44:C4:4C2352,78
C44⋊C4⋊5C2 = C22.D44φ: C2/C1 → C2 ⊆ Out C44⋊C4176C44:C4:5C2352,81
C44⋊C4⋊6C2 = D22⋊2Q8φ: C2/C1 → C2 ⊆ Out C44⋊C4176C44:C4:6C2352,92
C44⋊C4⋊7C2 = C4⋊C4⋊D11φ: C2/C1 → C2 ⊆ Out C44⋊C4176C44:C4:7C2352,93
C44⋊C4⋊8C2 = C44.48D4φ: C2/C1 → C2 ⊆ Out C44⋊C4176C44:C4:8C2352,119
C44⋊C4⋊9C2 = C44⋊7D4φ: C2/C1 → C2 ⊆ Out C44⋊C4176C44:C4:9C2352,125
C44⋊C4⋊10C2 = D4⋊Dic11φ: C2/C1 → C2 ⊆ Out C44⋊C4176C44:C4:10C2352,38
C44⋊C4⋊11C2 = C4⋊C4×D11φ: C2/C1 → C2 ⊆ Out C44⋊C4176C44:C4:11C2352,86
C44⋊C4⋊12C2 = C4⋊C4⋊7D11φ: C2/C1 → C2 ⊆ Out C44⋊C4176C44:C4:12C2352,87
C44⋊C4⋊13C2 = D4×Dic11φ: C2/C1 → C2 ⊆ Out C44⋊C4176C44:C4:13C2352,129
C44⋊C4⋊14C2 = C44⋊2D4φ: C2/C1 → C2 ⊆ Out C44⋊C4176C44:C4:14C2352,133
C44⋊C4⋊15C2 = D22⋊3Q8φ: C2/C1 → C2 ⊆ Out C44⋊C4176C44:C4:15C2352,141
C44⋊C4⋊16C2 = C4×D44φ: trivial image176C44:C4:16C2352,68
C44⋊C4⋊17C2 = C23.21D22φ: trivial image176C44:C4:17C2352,121

Non-split extensions G=N.Q with N=C44⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
C44⋊C4.1C2 = C44.44D4φ: C2/C1 → C2 ⊆ Out C44⋊C4352C44:C4.1C2352,22
C44⋊C4.2C2 = C44.4Q8φ: C2/C1 → C2 ⊆ Out C44⋊C4352C44:C4.2C2352,23
C44⋊C4.3C2 = C44.5Q8φ: C2/C1 → C2 ⊆ Out C44⋊C4352C44:C4.3C2352,24
C44⋊C4.4C2 = C44⋊2Q8φ: C2/C1 → C2 ⊆ Out C44⋊C4352C44:C4.4C2352,64
C44⋊C4.5C2 = C44.6Q8φ: C2/C1 → C2 ⊆ Out C44⋊C4352C44:C4.5C2352,65
C44⋊C4.6C2 = Dic11.Q8φ: C2/C1 → C2 ⊆ Out C44⋊C4352C44:C4.6C2352,84
C44⋊C4.7C2 = C44.3Q8φ: C2/C1 → C2 ⊆ Out C44⋊C4352C44:C4.7C2352,85
C44⋊C4.8C2 = C44.Q8φ: C2/C1 → C2 ⊆ Out C44⋊C4352C44:C4.8C2352,13
C44⋊C4.9C2 = C4.Dic22φ: C2/C1 → C2 ⊆ Out C44⋊C4352C44:C4.9C2352,14
C44⋊C4.10C2 = Q8⋊Dic11φ: C2/C1 → C2 ⊆ Out C44⋊C4352C44:C4.10C2352,41
C44⋊C4.11C2 = C44⋊Q8φ: C2/C1 → C2 ⊆ Out C44⋊C4352C44:C4.11C2352,83
C44⋊C4.12C2 = Q8×Dic11φ: C2/C1 → C2 ⊆ Out C44⋊C4352C44:C4.12C2352,140
C44⋊C4.13C2 = C4×Dic22φ: trivial image352C44:C4.13C2352,63

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