Extensions 1→N→G→Q→1 with N=C₂³⋊Dic₇ and Q=C₂

Direct product G=N×Q with N=C₂³⋊Dic₇ and Q=C₂

		d	ρ	Label	ID
C₂×C₂³⋊Dic₇		112		C2xC2^3:Dic7	448,753

Semidirect products G=N:Q with N=C₂³⋊Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊Dic₇⋊₁C₂ = C₂³.₂D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₇	56	8+	C2^3:Dic7:1C2	448,31
C₂³⋊Dic₇⋊₂C₂ = C₂⁴⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₇	56	4	C2^3:Dic7:2C2	448,93
C₂³⋊Dic₇⋊₃C₂ = C₂³⋊C₄⋊₅D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₇	112	8-	C2^3:Dic7:3C2	448,274
C₂³⋊Dic₇⋊₄C₂ = D₇×C₂³⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₇	56	8+	C2^3:Dic7:4C2	448,277
C₂³⋊Dic₇⋊₅C₂ = C₂⁴⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₇	56	4	C2^3:Dic7:5C2	448,566
C₂³⋊Dic₇⋊₆C₂ = C₂²⋊C₄⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₇	112	4	C2^3:Dic7:6C2	448,587
C₂³⋊Dic₇⋊₇C₂ = C₂³.₃D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₇	56	8+	C2^3:Dic7:7C2	448,32
C₂³⋊Dic₇⋊₈C₂ = C₄²⋊₃Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₇	56	4	C2^3:Dic7:8C2	448,102
C₂³⋊Dic₇⋊₉C₂ = 2₊¹⁺⁴.₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₇	112	8-	C2^3:Dic7:9C2	448,777
C₂³⋊Dic₇⋊₁₀C₂ = 2₊¹⁺⁴⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₇	56	8+	C2^3:Dic7:10C2	448,778
C₂³⋊Dic₇⋊₁₁C₂ = (D₄×C₁₄)⋊₁₀C₄	φ: trivial image	112	4	C2^3:Dic7:11C2	448,774

Non-split extensions G=N.Q with N=C₂³⋊Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊Dic₇.₁C₂ = C₂³.D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₇	112	8-	C2^3:Dic7.1C2	448,30
C₂³⋊Dic₇.₂C₂ = (C₂²×C₂₈)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₇	112	4	C2^3:Dic7.2C2	448,96
C₂³⋊Dic₇.₃C₂ = C₂³.₄D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₇	112	8-	C2^3:Dic7.3C2	448,33
C₂³⋊Dic₇.₄C₂ = C₄²⋊₂Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊Dic₇	112	4	C2^3:Dic7.4C2	448,98

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