Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=Dic₁₅

Direct product G=NxQ with N=C₂xC₄ and Q=Dic₁₅

		d	ρ	Label	ID
C₂xC₄xDic₁₅		480		C2xC4xDic15	480,887

Semidirect products G=N:Q with N=C₂xC₄ and Q=Dic₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄):Dic₁₅ = C₂³.₇D₃₀	φ: Dic₁₅/C₁₅ → C₄ ⊆ Aut C₂xC₄	120	4	(C2xC4):Dic15	480,194
(C₂xC₄):₂Dic₁₅ = C₃₀.₂₉C₄²	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₂xC₄	480		(C2xC4):2Dic15	480,191
(C₂xC₄):₃Dic₁₅ = C₂xC₆₀:₅C₄	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₂xC₄	480		(C2xC4):3Dic15	480,890
(C₂xC₄):₄Dic₁₅ = C₂³.₂₆D₃₀	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₂xC₄	240		(C2xC4):4Dic15	480,891

Non-split extensions G=N.Q with N=C₂xC₄ and Q=Dic₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄).Dic₁₅ = C₆₀.₁₀D₄	φ: Dic₁₅/C₁₅ → C₄ ⊆ Aut C₂xC₄	240	4	(C2xC4).Dic15	480,196
(C₂xC₄).₂Dic₁₅ = C₄².D₁₅	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₂xC₄	480		(C2xC4).2Dic15	480,163
(C₂xC₄).₃Dic₁₅ = C₆₀:₅C₈	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₂xC₄	480		(C2xC4).3Dic15	480,164
(C₂xC₄).₄Dic₁₅ = C₆₀.₂₁₂D₄	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₂xC₄	240		(C2xC4).4Dic15	480,190
(C₂xC₄).₅Dic₁₅ = C₆₀.₇C₈	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₂xC₄	240	2	(C2xC4).5Dic15	480,172
(C₂xC₄).₆Dic₁₅ = C₂xC₆₀.₇C₄	φ: Dic₁₅/C₃₀ → C₂ ⊆ Aut C₂xC₄	240		(C2xC4).6Dic15	480,886
(C₂xC₄).₇Dic₁₅ = C₄xC₁₅:₃C₈	central extension (φ=1)	480		(C2xC4).7Dic15	480,162
(C₂xC₄).₈Dic₁₅ = C₂xC₁₅:₃C₁₆	central extension (φ=1)	480		(C2xC4).8Dic15	480,171
(C₂xC₄).₉Dic₁₅ = C₂²xC₁₅:₃C₈	central extension (φ=1)	480		(C2xC4).9Dic15	480,885

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