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

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

		d	ρ	Label	ID
C₂xC₂³.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 = D₇xC₂²: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 = D₄xDic₇	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 = C₄xC₇: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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