Extensions 1→N→G→Q→1 with N=C₂²×C₆ and Q=D₅

Direct product G=N×Q with N=C₂²×C₆ and Q=D₅

		d	ρ	Label	ID
D₅×C₂²×C₆		120		D5xC2^2xC6	240,205

Semidirect products G=N:Q with N=C₂²×C₆ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₆)⋊₁D₅ = C₆×C₅⋊D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂²×C₆	120		(C2^2xC6):1D5	240,164
(C₂²×C₆)⋊₂D₅ = C₂×C₁₅⋊₇D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂²×C₆	120		(C2^2xC6):2D5	240,184
(C₂²×C₆)⋊₃D₅ = C₂³×D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂²×C₆	120		(C2^2xC6):3D5	240,207

Non-split extensions G=N.Q with N=C₂²×C₆ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₆).₁D₅ = C₃×C₂³.D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂²×C₆	120		(C2^2xC6).1D5	240,48
(C₂²×C₆).₂D₅ = C₃₀.₃₈D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂²×C₆	120		(C2^2xC6).2D5	240,80
(C₂²×C₆).₃D₅ = C₂²×Dic₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂²×C₆	240		(C2^2xC6).3D5	240,183
(C₂²×C₆).₄D₅ = C₂×C₆×Dic₅	central extension (φ=1)	240		(C2^2xC6).4D5	240,163

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