Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₃⋊F₅

Direct product G=N×Q with N=C₃ and Q=C₂×C₃⋊F₅

		d	ρ	Label	ID
C₆×C₃⋊F₅		60	4	C6xC3:F5	360,146

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₃⋊F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×C₃⋊F₅) = S₃×C₃⋊F₅	φ: C₂×C₃⋊F₅/C₃⋊F₅ → C₂ ⊆ Aut C₃	30	8	C3:1(C2xC3:F5)	360,128
C₃⋊₂(C₂×C₃⋊F₅) = C₂×C₃²⋊₃F₅	φ: C₂×C₃⋊F₅/C₆×D₅ → C₂ ⊆ Aut C₃	90		C3:2(C2xC3:F5)	360,147

Non-split extensions G=N.Q with N=C₃ and Q=C₂×C₃⋊F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×C₃⋊F₅) = C₂×C₉⋊F₅	φ: C₂×C₃⋊F₅/C₆×D₅ → C₂ ⊆ Aut C₃	90	4	C3.(C2xC3:F5)	360,44

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Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C3⋊F5