Extensions 1→N→G→Q→1 with N=C₂²×D₇ and Q=C₆

Direct product G=N×Q with N=C₂²×D₇ and Q=C₆

		d	ρ	Label	ID
D₇×C₂²×C₆		168		D7xC2^2xC6	336,225

Semidirect products G=N:Q with N=C₂²×D₇ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₇)⋊₁C₆ = C₂×C₄⋊F₇	φ: C₆/C₁ → C₆ ⊆ Out C₂²×D₇	56		(C2^2xD7):1C6	336,123
(C₂²×D₇)⋊₂C₆ = D₄×F₇	φ: C₆/C₁ → C₆ ⊆ Out C₂²×D₇	28	12+	(C2^2xD7):2C6	336,125
(C₂²×D₇)⋊₃C₆ = C₂×Dic₇⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out C₂²×D₇	56		(C2^2xD7):3C6	336,130
(C₂²×D₇)⋊₄C₆ = C₂×A₄×D₇	φ: C₆/C₂ → C₃ ⊆ Out C₂²×D₇	42	6+	(C2^2xD7):4C6	336,217
(C₂²×D₇)⋊₅C₆ = C₂×D₇⋊A₄	φ: C₆/C₂ → C₃ ⊆ Out C₂²×D₇	42	6+	(C2^2xD7):5C6	336,218
(C₂²×D₇)⋊₆C₆ = C₂³×F₇	φ: C₆/C₂ → C₃ ⊆ Out C₂²×D₇	56		(C2^2xD7):6C6	336,216
(C₂²×D₇)⋊₇C₆ = C₆×D₂₈	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₇	168		(C2^2xD7):7C6	336,176
(C₂²×D₇)⋊₈C₆ = C₃×D₄×D₇	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₇	84	4	(C2^2xD7):8C6	336,178
(C₂²×D₇)⋊₉C₆ = C₆×C₇⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₇	168		(C2^2xD7):9C6	336,183

Non-split extensions G=N.Q with N=C₂²×D₇ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₇).C₆ = D₁₄⋊C₁₂	φ: C₆/C₁ → C₆ ⊆ Out C₂²×D₇	56		(C2^2xD7).C6	336,17
(C₂²×D₇).₂C₆ = C₂×C₄×F₇	φ: C₆/C₂ → C₃ ⊆ Out C₂²×D₇	56		(C2^2xD7).2C6	336,122
(C₂²×D₇).₃C₆ = C₃×D₁₄⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²×D₇	168		(C2^2xD7).3C6	336,68
(C₂²×D₇).₄C₆ = D₇×C₂×C₁₂	φ: trivial image	168		(C2^2xD7).4C6	336,175

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