Extensions 1→N→G→Q→1 with N=C₃×D₅ and Q=C₂×C₆

Direct product G=N×Q with N=C₃×D₅ and Q=C₂×C₆

		d	ρ	Label	ID
D₅×C₆²		180		D5xC6^2	360,157

Semidirect products G=N:Q with N=C₃×D₅ and Q=C₂×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₅)⋊(C₂×C₆) = S₃×C₆×D₅	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₃×D₅	60	4	(C3xD5):(C2xC6)	360,151

Non-split extensions G=N.Q with N=C₃×D₅ and Q=C₂×C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₅).(C₂×C₆) = C₃×S₃×F₅	φ: C₂×C₆/C₃ → C₂² ⊆ Out C₃×D₅	30	8	(C3xD5).(C2xC6)	360,126
(C₃×D₅).₂(C₂×C₆) = C₆×C₃⋊F₅	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₃×D₅	60	4	(C3xD5).2(C2xC6)	360,146
(C₃×D₅).₃(C₂×C₆) = C₁₈×F₅	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₃×D₅	90	4	(C3xD5).3(C2xC6)	360,43
(C₃×D₅).₄(C₂×C₆) = C₃×C₆×F₅	φ: C₂×C₆/C₆ → C₂ ⊆ Out C₃×D₅	90		(C3xD5).4(C2xC6)	360,145
(C₃×D₅).₅(C₂×C₆) = D₅×C₂×C₁₈	φ: trivial image	180		(C3xD5).5(C2xC6)	360,47

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