Extensions 1→N→G→Q→1 with N=C₈×D₇ and Q=C₂

Direct product G=N×Q with N=C₈×D₇ and Q=C₂

		d	ρ	Label	ID
D₇×C₂×C₈		112		D7xC2xC8	224,94

Semidirect products G=N:Q with N=C₈×D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×D₇)⋊₁C₂ = D₇×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₇	56	4+	(C8xD7):1C2	224,105
(C₈×D₇)⋊₂C₂ = D₈⋊₃D₇	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₇	112	4-	(C8xD7):2C2	224,107
(C₈×D₇)⋊₃C₂ = Q₈.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₇	112	4+	(C8xD7):3C2	224,114
(C₈×D₇)⋊₄C₂ = D₇×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₇	56	4	(C8xD7):4C2	224,108
(C₈×D₇)⋊₅C₂ = SD₁₆⋊₃D₇	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₇	112	4	(C8xD7):5C2	224,111
(C₈×D₇)⋊₆C₂ = D₂₈.₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₇	112	2	(C8xD7):6C2	224,96
(C₈×D₇)⋊₇C₂ = D₇×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₇	56	4	(C8xD7):7C2	224,101
(C₈×D₇)⋊₈C₂ = D₂₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₇	112	4	(C8xD7):8C2	224,102

Non-split extensions G=N.Q with N=C₈×D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×D₇).₁C₂ = D₇×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₇	112	4-	(C8xD7).1C2	224,112
(C₈×D₇).₂C₂ = C₁₆⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₇	112	2	(C8xD7).2C2	224,4
(C₈×D₇).₃C₂ = D₇×C₁₆	φ: trivial image	112	2	(C8xD7).3C2	224,3

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