Extensions 1→N→G→Q→1 with N=C₂³.₇D₆ and Q=C₂

Direct product G=N×Q with N=C₂³.₇D₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₂³.₇D₆		48		C2xC2^3.7D6	192,778

Semidirect products G=N:Q with N=C₂³.₇D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.₇D₆⋊₁C₂ = C₂³.₂D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇D₆	24	8+	C2^3.7D6:1C2	192,33
C₂³.₇D₆⋊₂C₂ = C₂⁴⋊₅Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇D₆	24	4	C2^3.7D6:2C2	192,95
C₂³.₇D₆⋊₃C₂ = C₂³⋊C₄⋊₅S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇D₆	48	8-	C2^3.7D6:3C2	192,299
C₂³.₇D₆⋊₄C₂ = S₃×C₂³⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇D₆	24	8+	C2^3.7D6:4C2	192,302
C₂³.₇D₆⋊₅C₂ = C₂⁴⋊₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇D₆	24	4	C2^3.7D6:5C2	192,591
C₂³.₇D₆⋊₆C₂ = C₂²⋊C₄⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇D₆	48	4	C2^3.7D6:6C2	192,612
C₂³.₇D₆⋊₇C₂ = C₂³.₃D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇D₆	24	8+	C2^3.7D6:7C2	192,34
C₂³.₇D₆⋊₈C₂ = C₄²⋊₅Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇D₆	24	4	C2^3.7D6:8C2	192,104
C₂³.₇D₆⋊₉C₂ = 2₊¹⁺⁴.₅S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇D₆	48	8-	C2^3.7D6:9C2	192,802
C₂³.₇D₆⋊₁₀C₂ = 2₊¹⁺⁴⋊₇S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇D₆	24	8+	C2^3.7D6:10C2	192,803
C₂³.₇D₆⋊₁₁C₂ = (C₆×D₄)⋊₁₀C₄	φ: trivial image	48	4	C2^3.7D6:11C2	192,799

Non-split extensions G=N.Q with N=C₂³.₇D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.₇D₆.₁C₂ = C₂³.D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇D₆	48	8-	C2^3.7D6.1C2	192,32
C₂³.₇D₆.₂C₂ = (C₂²×C₁₂)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇D₆	48	4	C2^3.7D6.2C2	192,98
C₂³.₇D₆.₃C₂ = C₂³.₄D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇D₆	48	8-	C2^3.7D6.3C2	192,35
C₂³.₇D₆.₄C₂ = C₄²⋊₄Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇D₆	48	4	C2^3.7D6.4C2	192,100

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