Extensions 1→N→G→Q→1 with N=C₈×C₇⋊C₃ and Q=C₂

Direct product G=N×Q with N=C₈×C₇⋊C₃ and Q=C₂

		d	ρ	Label	ID
C₂×C₈×C₇⋊C₃		112		C2xC8xC7:C3	336,51

Semidirect products G=N:Q with N=C₈×C₇⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×C₇⋊C₃)⋊₁C₂ = D₅₆⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₈×C₇⋊C₃	56	6+	(C8xC7:C3):1C2	336,10
(C₈×C₇⋊C₃)⋊₂C₂ = C₅₆⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₈×C₇⋊C₃	56	6	(C8xC7:C3):2C2	336,9
(C₈×C₇⋊C₃)⋊₃C₂ = C₈×F₇	φ: C₂/C₁ → C₂ ⊆ Out C₈×C₇⋊C₃	56	6	(C8xC7:C3):3C2	336,7
(C₈×C₇⋊C₃)⋊₄C₂ = C₈⋊F₇	φ: C₂/C₁ → C₂ ⊆ Out C₈×C₇⋊C₃	56	6	(C8xC7:C3):4C2	336,8
(C₈×C₇⋊C₃)⋊₅C₂ = D₈×C₇⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₈×C₇⋊C₃	56	6	(C8xC7:C3):5C2	336,53
(C₈×C₇⋊C₃)⋊₆C₂ = SD₁₆×C₇⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₈×C₇⋊C₃	56	6	(C8xC7:C3):6C2	336,54
(C₈×C₇⋊C₃)⋊₇C₂ = M₄(2)×C₇⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₈×C₇⋊C₃	56	6	(C8xC7:C3):7C2	336,52

Non-split extensions G=N.Q with N=C₈×C₇⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×C₇⋊C₃).₁C₂ = C₈.F₇	φ: C₂/C₁ → C₂ ⊆ Out C₈×C₇⋊C₃	112	6-	(C8xC7:C3).1C2	336,11
(C₈×C₇⋊C₃).₂C₂ = C₇⋊C₄₈	φ: C₂/C₁ → C₂ ⊆ Out C₈×C₇⋊C₃	112	6	(C8xC7:C3).2C2	336,1
(C₈×C₇⋊C₃).₃C₂ = Q₁₆×C₇⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₈×C₇⋊C₃	112	6	(C8xC7:C3).3C2	336,55
(C₈×C₇⋊C₃).₄C₂ = C₁₆×C₇⋊C₃	φ: trivial image	112	3	(C8xC7:C3).4C2	336,2

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