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

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

		d	ρ	Label	ID
C₁₄×C₃⋊C₈		336		C14xC3:C8	336,79

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×C₃⋊C₈)⋊₁C₂ = C₃⋊D₅₆	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₃⋊C₈	168	4+	(C7xC3:C8):1C2	336,30
(C₇×C₃⋊C₈)⋊₂C₂ = C₆.D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₃⋊C₈	168	4-	(C7xC3:C8):2C2	336,34
(C₇×C₃⋊C₈)⋊₃C₂ = C₂₁⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₃⋊C₈	168	4+	(C7xC3:C8):3C2	336,35
(C₇×C₃⋊C₈)⋊₄C₂ = D₇×C₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₃⋊C₈	168	4	(C7xC3:C8):4C2	336,23
(C₇×C₃⋊C₈)⋊₅C₂ = D₂₁⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₃⋊C₈	168	4	(C7xC3:C8):5C2	336,25
(C₇×C₃⋊C₈)⋊₆C₂ = C₂₈.₃₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₃⋊C₈	168	4	(C7xC3:C8):6C2	336,26
(C₇×C₃⋊C₈)⋊₇C₂ = D₄₂.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₃⋊C₈	168	4	(C7xC3:C8):7C2	336,28
(C₇×C₃⋊C₈)⋊₈C₂ = C₇×D₄⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₃⋊C₈	168	4	(C7xC3:C8):8C2	336,85
(C₇×C₃⋊C₈)⋊₉C₂ = C₇×D₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₃⋊C₈	168	4	(C7xC3:C8):9C2	336,86
(C₇×C₃⋊C₈)⋊₁₀C₂ = C₇×Q₈⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₃⋊C₈	168	4	(C7xC3:C8):10C2	336,87
(C₇×C₃⋊C₈)⋊₁₁C₂ = C₇×C₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₃⋊C₈	168	2	(C7xC3:C8):11C2	336,75
(C₇×C₃⋊C₈)⋊₁₂C₂ = C₇×C₄.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₃⋊C₈	168	2	(C7xC3:C8):12C2	336,80
(C₇×C₃⋊C₈)⋊₁₃C₂ = S₃×C₅₆	φ: trivial image	168	2	(C7xC3:C8):13C2	336,74

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×C₃⋊C₈).₁C₂ = C₃⋊Dic₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₃⋊C₈	336	4-	(C7xC3:C8).1C2	336,39
(C₇×C₃⋊C₈).₂C₂ = C₇×C₃⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₃⋊C₈	336	4	(C7xC3:C8).2C2	336,88

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