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
C₆×C₃⋊F₅		60	4	C6xC3:F5	360,146

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₃⋊F₅) = C₂×C₃²⋊₃F₅	φ: C₃⋊F₅/C₃×D₅ → C₂ ⊆ Aut C₆	90		C6:(C3:F5)	360,147

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₃⋊F₅) = C₄₅⋊C₈	φ: C₃⋊F₅/C₃×D₅ → C₂ ⊆ Aut C₆	360	4	C6.1(C3:F5)	360,6
C₆.₂(C₃⋊F₅) = C₂×C₉⋊F₅	φ: C₃⋊F₅/C₃×D₅ → C₂ ⊆ Aut C₆	90	4	C6.2(C3:F5)	360,44
C₆.₃(C₃⋊F₅) = C₃₀.Dic₃	φ: C₃⋊F₅/C₃×D₅ → C₂ ⊆ Aut C₆	360		C6.3(C3:F5)	360,54
C₆.₄(C₃⋊F₅) = C₃×C₁₅⋊C₈	central extension (φ=1)	120	4	C6.4(C3:F5)	360,53

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