Extensions 1→N→G→Q→1 with N=C₂²×C₆ and Q=Dic₅

Direct product G=N×Q with N=C₂²×C₆ and Q=Dic₅

		d	ρ	Label	ID
Dic₅×C₂²×C₆		480		Dic5xC2^2xC6	480,1148

Semidirect products G=N:Q with N=C₂²×C₆ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₆)⋊₁Dic₅ = C₃×C₂³⋊Dic₅	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂²×C₆	120	4	(C2^2xC6):1Dic5	480,112
(C₂²×C₆)⋊₂Dic₅ = C₂³.₇D₃₀	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂²×C₆	120	4	(C2^2xC6):2Dic5	480,194
(C₂²×C₆)⋊₃Dic₅ = C₆×C₂³.D₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂²×C₆	240		(C2^2xC6):3Dic5	480,745
(C₂²×C₆)⋊₄Dic₅ = C₂×C₃₀.₃₈D₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂²×C₆	240		(C2^2xC6):4Dic5	480,917
(C₂²×C₆)⋊₅Dic₅ = C₂³×Dic₁₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂²×C₆	480		(C2^2xC6):5Dic5	480,1178

Non-split extensions G=N.Q with N=C₂²×C₆ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₆).₁Dic₅ = C₃×C₂₀.D₄	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂²×C₆	120	4	(C2^2xC6).1Dic5	480,111
(C₂²×C₆).₂Dic₅ = C₆₀.₈D₄	φ: Dic₅/C₅ → C₄ ⊆ Aut C₂²×C₆	120	4	(C2^2xC6).2Dic5	480,193
(C₂²×C₆).₃Dic₅ = C₃×C₂₀.₅₅D₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂²×C₆	240		(C2^2xC6).3Dic5	480,108
(C₂²×C₆).₄Dic₅ = C₆×C₄.Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂²×C₆	240		(C2^2xC6).4Dic5	480,714
(C₂²×C₆).₅Dic₅ = C₆₀.₂₁₂D₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂²×C₆	240		(C2^2xC6).5Dic5	480,190
(C₂²×C₆).₆Dic₅ = C₂²×C₁₅⋊₃C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂²×C₆	480		(C2^2xC6).6Dic5	480,885
(C₂²×C₆).₇Dic₅ = C₂×C₆₀.₇C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₂²×C₆	240		(C2^2xC6).7Dic5	480,886
(C₂²×C₆).₈Dic₅ = C₂×C₆×C₅⋊₂C₈	central extension (φ=1)	480		(C2^2xC6).8Dic5	480,713

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