Extensions 1→N→G→Q→1 with N=C₂³×C₆ and Q=D₅

Direct product G=N×Q with N=C₂³×C₆ and Q=D₅

		d	ρ	Label	ID
D₅×C₂³×C₆		240		D5xC2^3xC6	480,1210

Semidirect products G=N:Q with N=C₂³×C₆ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₆)⋊₁D₅ = C₃×C₂⁴⋊D₅	φ: D₅/C₁ → D₅ ⊆ Aut C₂³×C₆	30	5	(C2^3xC6):1D5	480,1194
(C₂³×C₆)⋊₂D₅ = C₂⁴⋊D₁₅	φ: D₅/C₁ → D₅ ⊆ Aut C₂³×C₆	30	10+	(C2^3xC6):2D5	480,1195
(C₂³×C₆)⋊₃D₅ = C₃×C₂⁴⋊₂D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₆	120		(C2^3xC6):3D5	480,746
(C₂³×C₆)⋊₄D₅ = C₂×C₆×C₅⋊D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₆	240		(C2^3xC6):4D5	480,1149
(C₂³×C₆)⋊₅D₅ = C₂⁴⋊₅D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₆	120		(C2^3xC6):5D5	480,918
(C₂³×C₆)⋊₆D₅ = C₂²×C₁₅⋊₇D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₆	240		(C2^3xC6):6D5	480,1179
(C₂³×C₆)⋊₇D₅ = C₂⁴×D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₆	240		(C2^3xC6):7D5	480,1212

Non-split extensions G=N.Q with N=C₂³×C₆ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₆).₁D₅ = C₆×C₂³.D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₆	240		(C2^3xC6).1D5	480,745
(C₂³×C₆).₂D₅ = C₂×C₃₀.₃₈D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₆	240		(C2^3xC6).2D5	480,917
(C₂³×C₆).₃D₅ = C₂³×Dic₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂³×C₆	480		(C2^3xC6).3D5	480,1178
(C₂³×C₆).₄D₅ = Dic₅×C₂²×C₆	central extension (φ=1)	480		(C2^3xC6).4D5	480,1148

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