Extensions 1→N→G→Q→1 with N=D₄×D₇ and Q=C₂

Direct product G=N×Q with N=D₄×D₇ and Q=C₂

		d	ρ	Label	ID
C₂×D₄×D₇		56		C2xD4xD7	224,178

Semidirect products G=N:Q with N=D₄×D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×D₇)⋊₁C₂ = D₇×D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₇	56	4+	(D4xD7):1C2	224,105
(D₄×D₇)⋊₂C₂ = D₈⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₇	56	4	(D4xD7):2C2	224,106
(D₄×D₇)⋊₃C₂ = D₅₆⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₇	56	4+	(D4xD7):3C2	224,109
(D₄×D₇)⋊₄C₂ = D₄⋊₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₇	56	4	(D4xD7):4C2	224,180
(D₄×D₇)⋊₅C₂ = D₄⋊₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₇	56	4+	(D4xD7):5C2	224,185
(D₄×D₇)⋊₆C₂ = D₇×C₄○D₄	φ: trivial image	56	4	(D4xD7):6C2	224,184

Non-split extensions G=N.Q with N=D₄×D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×D₇).C₂ = D₇×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₇	56	4	(D4xD7).C2	224,108

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