Extensions 1→N→G→Q→1 with N=C₂×Dic₇ and Q=C₆

Direct product G=N×Q with N=C₂×Dic₇ and Q=C₆

		d	ρ	Label	ID
C₂×C₆×Dic₇		336		C2xC6xDic7	336,182

Semidirect products G=N:Q with N=C₂×Dic₇ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₇)⋊₁C₆ = D₁₄⋊C₁₂	φ: C₆/C₁ → C₆ ⊆ Out C₂×Dic₇	56		(C2xDic7):1C6	336,17
(C₂×Dic₇)⋊₂C₆ = C₂³.₂F₇	φ: C₆/C₁ → C₆ ⊆ Out C₂×Dic₇	56		(C2xDic7):2C6	336,22
(C₂×Dic₇)⋊₃C₆ = D₄⋊₂F₇	φ: C₆/C₁ → C₆ ⊆ Out C₂×Dic₇	56	12-	(C2xDic7):3C6	336,126
(C₂×Dic₇)⋊₄C₆ = C₂×Dic₇⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out C₂×Dic₇	56		(C2xDic7):4C6	336,130
(C₂×Dic₇)⋊₅C₆ = C₂×C₄×F₇	φ: C₆/C₂ → C₃ ⊆ Out C₂×Dic₇	56		(C2xDic7):5C6	336,122
(C₂×Dic₇)⋊₆C₆ = C₂²×C₇⋊C₁₂	φ: C₆/C₂ → C₃ ⊆ Out C₂×Dic₇	112		(C2xDic7):6C6	336,129
(C₂×Dic₇)⋊₇C₆ = C₃×D₁₄⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₇	168		(C2xDic7):7C6	336,68
(C₂×Dic₇)⋊₈C₆ = C₃×C₂³.D₇	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₇	168		(C2xDic7):8C6	336,73
(C₂×Dic₇)⋊₉C₆ = C₃×D₄⋊₂D₇	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₇	168	4	(C2xDic7):9C6	336,179
(C₂×Dic₇)⋊₁₀C₆ = C₆×C₇⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₇	168		(C2xDic7):10C6	336,183
(C₂×Dic₇)⋊₁₁C₆ = D₇×C₂×C₁₂	φ: trivial image	168		(C2xDic7):11C6	336,175

Non-split extensions G=N.Q with N=C₂×Dic₇ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₇).₁C₆ = Dic₇⋊C₁₂	φ: C₆/C₁ → C₆ ⊆ Out C₂×Dic₇	112		(C2xDic7).1C6	336,15
(C₂×Dic₇).₂C₆ = C₂₈⋊C₁₂	φ: C₆/C₁ → C₆ ⊆ Out C₂×Dic₇	112		(C2xDic7).2C6	336,16
(C₂×Dic₇).₃C₆ = C₂×C₄.F₇	φ: C₆/C₁ → C₆ ⊆ Out C₂×Dic₇	112		(C2xDic7).3C6	336,121
(C₂×Dic₇).₄C₆ = C₄×C₇⋊C₁₂	φ: C₆/C₂ → C₃ ⊆ Out C₂×Dic₇	112		(C2xDic7).4C6	336,14
(C₂×Dic₇).₅C₆ = C₃×Dic₇⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₇	336		(C2xDic7).5C6	336,66
(C₂×Dic₇).₆C₆ = C₃×C₄⋊Dic₇	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₇	336		(C2xDic7).6C6	336,67
(C₂×Dic₇).₇C₆ = C₆×Dic₁₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×Dic₇	336		(C2xDic7).7C6	336,174
(C₂×Dic₇).₈C₆ = C₁₂×Dic₇	φ: trivial image	336		(C2xDic7).8C6	336,65

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