Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆×D₅

Direct product G=N×Q with N=C₃ and Q=C₆×D₅

		d	ρ	Label	ID
D₅×C₃×C₆		90		D5xC3xC6	180,32

Semidirect products G=N:Q with N=C₃ and Q=C₆×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₆×D₅) = C₃×S₃×D₅	φ: C₆×D₅/C₃×D₅ → C₂ ⊆ Aut C₃	30	4	C3:1(C6xD5)	180,26
C₃⋊₂(C₆×D₅) = C₆×D₁₅	φ: C₆×D₅/C₃₀ → C₂ ⊆ Aut C₃	60	2	C3:2(C6xD5)	180,34

Non-split extensions G=N.Q with N=C₃ and Q=C₆×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₆×D₅) = D₅×C₁₈	central extension (φ=1)	90	2	C3.(C6xD5)	180,9

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Extensions 1→N→G→Q→1 with N=C3 and Q=C6×D5