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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₃×F₅) = C₆×C₃⋊F₅	φ: C₃×F₅/C₃×D₅ → C₂ ⊆ Aut C₆	60	4	C6:(C3xF5)	360,146

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₃×F₅) = C₃×C₁₅⋊C₈	φ: C₃×F₅/C₃×D₅ → C₂ ⊆ Aut C₆	120	4	C6.(C3xF5)	360,53
C₆.₂(C₃×F₅) = C₉×C₅⋊C₈	central extension (φ=1)	360	4	C6.2(C3xF5)	360,5
C₆.₃(C₃×F₅) = C₁₈×F₅	central extension (φ=1)	90	4	C6.3(C3xF5)	360,43
C₆.₄(C₃×F₅) = C₃²×C₅⋊C₈	central extension (φ=1)	360		C6.4(C3xF5)	360,52

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