Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=Dic₁₅

Direct product G=N×Q with N=C₂×C₄ and Q=Dic₁₅

		d	ρ	Label	ID
C₂×C₄×Dic₁₅		480		C2xC4xDic15	480,887

Semidirect products G=N:Q with N=C₂×C₄ and Q=Dic₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊Dic₁₅ = C₂³.₇D₃₀	φ: Dic₁₅/C₁₅ → C₄ ⊆ Aut C₂×C₄	120	4	(C2xC4):Dic15	480,194
(C₂×C₄)⋊₂Dic₁₅ = C₃₀.₂₉C₄²	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₂×C₄	480		(C2xC4):2Dic15	480,191
(C₂×C₄)⋊₃Dic₁₅ = C₂×C₆₀⋊₅C₄	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₂×C₄	480		(C2xC4):3Dic15	480,890
(C₂×C₄)⋊₄Dic₁₅ = C₂³.₂₆D₃₀	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₂×C₄	240		(C2xC4):4Dic15	480,891

Non-split extensions G=N.Q with N=C₂×C₄ and Q=Dic₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).Dic₁₅ = C₆₀.₁₀D₄	φ: Dic₁₅/C₁₅ → C₄ ⊆ Aut C₂×C₄	240	4	(C2xC4).Dic15	480,196
(C₂×C₄).₂Dic₁₅ = C₄².D₁₅	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₂×C₄	480		(C2xC4).2Dic15	480,163
(C₂×C₄).₃Dic₁₅ = C₆₀⋊₅C₈	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₂×C₄	480		(C2xC4).3Dic15	480,164
(C₂×C₄).₄Dic₁₅ = C₆₀.₂₁₂D₄	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₂×C₄	240		(C2xC4).4Dic15	480,190
(C₂×C₄).₅Dic₁₅ = C₆₀.₇C₈	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₂×C₄	240	2	(C2xC4).5Dic15	480,172
(C₂×C₄).₆Dic₁₅ = C₂×C₆₀.₇C₄	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₂×C₄	240		(C2xC4).6Dic15	480,886
(C₂×C₄).₇Dic₁₅ = C₄×C₁₅⋊₃C₈	central extension (φ=1)	480		(C2xC4).7Dic15	480,162
(C₂×C₄).₈Dic₁₅ = C₂×C₁₅⋊₃C₁₆	central extension (φ=1)	480		(C2xC4).8Dic15	480,171
(C₂×C₄).₉Dic₁₅ = C₂²×C₁₅⋊₃C₈	central extension (φ=1)	480		(C2xC4).9Dic15	480,885

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