Extensions 1→N→G→Q→1 with N=C₄⋊Dic₇ and Q=C₂

Direct product G=N×Q with N=C₄⋊Dic₇ and Q=C₂

		d	ρ	Label	ID
C₂×C₄⋊Dic₇		224		C2xC4:Dic7	224,120

Semidirect products G=N:Q with N=C₄⋊Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊Dic₇⋊₁C₂ = C₂.D₅₆	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	112		C4:Dic7:1C2	224,27
C₄⋊Dic₇⋊₂C₂ = C₂²⋊Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	112		C4:Dic7:2C2	224,73
C₄⋊Dic₇⋊₃C₂ = C₂³.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	112		C4:Dic7:3C2	224,74
C₄⋊Dic₇⋊₄C₂ = D₁₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	112		C4:Dic7:4C2	224,78
C₄⋊Dic₇⋊₅C₂ = C₂².D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	112		C4:Dic7:5C2	224,81
C₄⋊Dic₇⋊₆C₂ = D₁₄⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	112		C4:Dic7:6C2	224,92
C₄⋊Dic₇⋊₇C₂ = C₄⋊C₄⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	112		C4:Dic7:7C2	224,93
C₄⋊Dic₇⋊₈C₂ = C₂₈.₄₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	112		C4:Dic7:8C2	224,119
C₄⋊Dic₇⋊₉C₂ = C₂₈⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	112		C4:Dic7:9C2	224,125
C₄⋊Dic₇⋊₁₀C₂ = D₄⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	112		C4:Dic7:10C2	224,38
C₄⋊Dic₇⋊₁₁C₂ = D₇×C₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	112		C4:Dic7:11C2	224,86
C₄⋊Dic₇⋊₁₂C₂ = C₄⋊C₄⋊₇D₇	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	112		C4:Dic7:12C2	224,87
C₄⋊Dic₇⋊₁₃C₂ = D₄×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	112		C4:Dic7:13C2	224,129
C₄⋊Dic₇⋊₁₄C₂ = C₂₈⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	112		C4:Dic7:14C2	224,133
C₄⋊Dic₇⋊₁₅C₂ = D₁₄⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	112		C4:Dic7:15C2	224,141
C₄⋊Dic₇⋊₁₆C₂ = C₄×D₂₈	φ: trivial image	112		C4:Dic7:16C2	224,68
C₄⋊Dic₇⋊₁₇C₂ = C₂³.₂₁D₁₄	φ: trivial image	112		C4:Dic7:17C2	224,121

Non-split extensions G=N.Q with N=C₄⋊Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊Dic₇.₁C₂ = C₂₈.₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	224		C4:Dic7.1C2	224,22
C₄⋊Dic₇.₂C₂ = C₈⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	224		C4:Dic7.2C2	224,23
C₄⋊Dic₇.₃C₂ = C₅₆⋊₁C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	224		C4:Dic7.3C2	224,24
C₄⋊Dic₇.₄C₂ = C₂₈⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	224		C4:Dic7.4C2	224,64
C₄⋊Dic₇.₅C₂ = C₂₈.₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	224		C4:Dic7.5C2	224,65
C₄⋊Dic₇.₆C₂ = Dic₇.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	224		C4:Dic7.6C2	224,84
C₄⋊Dic₇.₇C₂ = C₂₈.₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	224		C4:Dic7.7C2	224,85
C₄⋊Dic₇.₈C₂ = C₂₈.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	224		C4:Dic7.8C2	224,13
C₄⋊Dic₇.₉C₂ = C₄.Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	224		C4:Dic7.9C2	224,14
C₄⋊Dic₇.₁₀C₂ = Q₈⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	224		C4:Dic7.10C2	224,41
C₄⋊Dic₇.₁₁C₂ = C₂₈⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	224		C4:Dic7.11C2	224,83
C₄⋊Dic₇.₁₂C₂ = Q₈×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊Dic₇	224		C4:Dic7.12C2	224,140
C₄⋊Dic₇.₁₃C₂ = C₄×Dic₁₄	φ: trivial image	224		C4:Dic7.13C2	224,63

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