Extensions 1→N→G→Q→1 with N=C₂³.D₇ and Q=C₂

Direct product G=N×Q with N=C₂³.D₇ and Q=C₂

		d	ρ	Label	ID
C₂×C₂³.D₇		112		C2xC2^3.D7	224,147

Semidirect products G=N:Q with N=C₂³.D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.D₇⋊₁C₂ = C₂³.₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₇	56	4	C2^3.D7:1C2	224,12
C₂³.D₇⋊₂C₂ = C₂³⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₇	56	4	C2^3.D7:2C2	224,40
C₂³.D₇⋊₃C₂ = D₇×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₇	56		C2^3.D7:3C2	224,75
C₂³.D₇⋊₄C₂ = D₁₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:4C2	224,78
C₂³.D₇⋊₅C₂ = Dic₇.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:5C2	224,80
C₂³.D₇⋊₆C₂ = C₂³.₂₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:6C2	224,124
C₂³.D₇⋊₇C₂ = D₄×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:7C2	224,129
C₂³.D₇⋊₈C₂ = C₂³.₁₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:8C2	224,130
C₂³.D₇⋊₉C₂ = C₂₈.₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:9C2	224,131
C₂³.D₇⋊₁₀C₂ = C₂³⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₇	56		C2^3.D7:10C2	224,132
C₂³.D₇⋊₁₁C₂ = C₂₈⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:11C2	224,133
C₂³.D₇⋊₁₂C₂ = Dic₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7:12C2	224,134
C₂³.D₇⋊₁₃C₂ = C₂⁴⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₇	56		C2^3.D7:13C2	224,148
C₂³.D₇⋊₁₄C₂ = C₄×C₇⋊D₄	φ: trivial image	112		C2^3.D7:14C2	224,123

Non-split extensions G=N.Q with N=C₂³.D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.D₇.₁C₂ = C₂³.₁₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7.1C2	224,72
C₂³.D₇.₂C₂ = C₂²⋊Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7.2C2	224,73
C₂³.D₇.₃C₂ = C₂³.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7.3C2	224,74
C₂³.D₇.₄C₂ = C₂₈.₄₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.D₇	112		C2^3.D7.4C2	224,119
C₂³.D₇.₅C₂ = C₂³.₂₁D₁₄	φ: trivial image	112		C2^3.D7.5C2	224,121

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