Extensions 1→N→G→Q→1 with N=C₂²×Dic₇ and Q=C₂

Direct product G=N×Q with N=C₂²×Dic₇ and Q=C₂

		d	ρ	Label	ID
C₂³×Dic₇		224		C2^3xDic7	224,187

Semidirect products G=N:Q with N=C₂²×Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×Dic₇)⋊₁C₂ = Dic₇⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₇	112		(C2^2xDic7):1C2	224,76
(C₂²×Dic₇)⋊₂C₂ = C₂².D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₇	112		(C2^2xDic7):2C2	224,81
(C₂²×Dic₇)⋊₃C₂ = C₂×D₁₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₇	112		(C2^2xDic7):3C2	224,122
(C₂²×Dic₇)⋊₄C₂ = D₄×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₇	112		(C2^2xDic7):4C2	224,129
(C₂²×Dic₇)⋊₅C₂ = C₂³.₁₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₇	112		(C2^2xDic7):5C2	224,130
(C₂²×Dic₇)⋊₆C₂ = Dic₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₇	112		(C2^2xDic7):6C2	224,134
(C₂²×Dic₇)⋊₇C₂ = C₂×C₂³.D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₇	112		(C2^2xDic7):7C2	224,147
(C₂²×Dic₇)⋊₈C₂ = C₂×D₄⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₇	112		(C2^2xDic7):8C2	224,179
(C₂²×Dic₇)⋊₉C₂ = C₂²×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₇	112		(C2^2xDic7):9C2	224,188
(C₂²×Dic₇)⋊₁₀C₂ = D₇×C₂²×C₄	φ: trivial image	112		(C2^2xDic7):10C2	224,175

Non-split extensions G=N.Q with N=C₂²×Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×Dic₇).₁C₂ = C₁₄.C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₇	224		(C2^2xDic7).1C2	224,37
(C₂²×Dic₇).₂C₂ = C₂³.₁₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₇	112		(C2^2xDic7).2C2	224,72
(C₂²×Dic₇).₃C₂ = C₂²⋊Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₇	112		(C2^2xDic7).3C2	224,73
(C₂²×Dic₇).₄C₂ = C₂×Dic₇⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₇	224		(C2^2xDic7).4C2	224,118
(C₂²×Dic₇).₅C₂ = C₂×C₄⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₇	224		(C2^2xDic7).5C2	224,120
(C₂²×Dic₇).₆C₂ = C₂²×Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₇	224		(C2^2xDic7).6C2	224,174
(C₂²×Dic₇).₇C₂ = C₂×C₄×Dic₇	φ: trivial image	224		(C2^2xDic7).7C2	224,117

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