Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆×F₅

Direct product G=N×Q with N=C₃ and Q=C₆×F₅

		d	ρ	Label	ID
C₃×C₆×F₅		90		C3xC6xF5	360,145

Semidirect products G=N:Q with N=C₃ and Q=C₆×F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₆×F₅) = C₃×S₃×F₅	φ: C₆×F₅/C₃×F₅ → C₂ ⊆ Aut C₃	30	8	C3:1(C6xF5)	360,126
C₃⋊₂(C₆×F₅) = C₆×C₃⋊F₅	φ: C₆×F₅/C₆×D₅ → C₂ ⊆ Aut C₃	60	4	C3:2(C6xF5)	360,146

Non-split extensions G=N.Q with N=C₃ and Q=C₆×F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₆×F₅) = C₁₈×F₅	central extension (φ=1)	90	4	C3.(C6xF5)	360,43

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Extensions 1→N→G→Q→1 with N=C3 and Q=C6×F5