Extensions 1→N→G→Q→1 with N=C₄×D₇ and Q=C₆

Direct product G=N×Q with N=C₄×D₇ and Q=C₆

		d	ρ	Label	ID
D₇×C₂×C₁₂		168		D7xC2xC12	336,175

Semidirect products G=N:Q with N=C₄×D₇ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₇)⋊₁C₆ = D₄×F₇	φ: C₆/C₁ → C₆ ⊆ Out C₄×D₇	28	12+	(C4xD7):1C6	336,125
(C₄×D₇)⋊₂C₆ = D₄⋊₂F₇	φ: C₆/C₁ → C₆ ⊆ Out C₄×D₇	56	12-	(C4xD7):2C6	336,126
(C₄×D₇)⋊₃C₆ = Q₈⋊₃F₇	φ: C₆/C₁ → C₆ ⊆ Out C₄×D₇	56	12+	(C4xD7):3C6	336,128
(C₄×D₇)⋊₄C₆ = D₂₈⋊₆C₆	φ: C₆/C₁ → C₆ ⊆ Out C₄×D₇	56	6	(C4xD7):4C6	336,124
(C₄×D₇)⋊₅C₆ = C₂×C₄×F₇	φ: C₆/C₂ → C₃ ⊆ Out C₄×D₇	56		(C4xD7):5C6	336,122
(C₄×D₇)⋊₆C₆ = C₃×D₄×D₇	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₇	84	4	(C4xD7):6C6	336,178
(C₄×D₇)⋊₇C₆ = C₃×D₄⋊₂D₇	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₇	168	4	(C4xD7):7C6	336,179
(C₄×D₇)⋊₈C₆ = C₃×Q₈⋊₂D₇	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₇	168	4	(C4xD7):8C6	336,181
(C₄×D₇)⋊₉C₆ = C₃×C₄○D₂₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₇	168	2	(C4xD7):9C6	336,177

Non-split extensions G=N.Q with N=C₄×D₇ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₇).₁C₆ = Q₈×F₇	φ: C₆/C₁ → C₆ ⊆ Out C₄×D₇	56	12-	(C4xD7).1C6	336,127
(C₄×D₇).₂C₆ = C₈⋊F₇	φ: C₆/C₁ → C₆ ⊆ Out C₄×D₇	56	6	(C4xD7).2C6	336,8
(C₄×D₇).₃C₆ = C₈×F₇	φ: C₆/C₂ → C₃ ⊆ Out C₄×D₇	56	6	(C4xD7).3C6	336,7
(C₄×D₇).₄C₆ = C₃×Q₈×D₇	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₇	168	4	(C4xD7).4C6	336,180
(C₄×D₇).₅C₆ = C₃×C₈⋊D₇	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₇	168	2	(C4xD7).5C6	336,59
(C₄×D₇).₆C₆ = D₇×C₂₄	φ: trivial image	168	2	(C4xD7).6C6	336,58

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