Extensions 1→N→G→Q→1 with N=C₂×C₇⋊C₃ and Q=D₅

Direct product G=N×Q with N=C₂×C₇⋊C₃ and Q=D₅

		d	ρ	Label	ID
C₂×D₅×C₇⋊C₃		70	6	C2xD5xC7:C3	420,18

Semidirect products G=N:Q with N=C₂×C₇⋊C₃ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₇⋊C₃)⋊D₅ = C₂×C₅⋊F₇	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₇⋊C₃	70	6+	(C2xC7:C3):D5	420,19

Non-split extensions G=N.Q with N=C₂×C₇⋊C₃ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₇⋊C₃).D₅ = C₃₅⋊₃C₁₂	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₇⋊C₃	140	6-	(C2xC7:C3).D5	420,3
(C₂×C₇⋊C₃).₂D₅ = Dic₅×C₇⋊C₃	φ: trivial image	140	6	(C2xC7:C3).2D5	420,2

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Extensions 1→N→G→Q→1 with N=C2×C7⋊C3 and Q=D5