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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₅)⋊C₆ = C₃×S₃×D₅	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₅	30	4	(C3xD5):C6	180,26

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₅).₁C₆ = C₃×C₃⋊F₅	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₅	30	4	(C3xD5).1C6	180,21
(C₃×D₅).₂C₆ = C₉×F₅	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₅	45	4	(C3xD5).2C6	180,5
(C₃×D₅).₃C₆ = C₃²×F₅	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₅	45		(C3xD5).3C6	180,20
(C₃×D₅).₄C₆ = D₅×C₁₈	φ: trivial image	90	2	(C3xD5).4C6	180,9

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