Extensions 1→N→G→Q→1 with N=C₃² and Q=C₂×F₅

Direct product G=N×Q with N=C₃² and Q=C₂×F₅

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

Semidirect products G=N:Q with N=C₃² and Q=C₂×F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊₁(C₂×F₅) = C₃²⋊F₅⋊C₂	φ: C₂×F₅/D₅ → C₄ ⊆ Aut C₃²	30	8+	C3^2:1(C2xF5)	360,131
C₃²⋊₂(C₂×F₅) = S₃×C₃⋊F₅	φ: C₂×F₅/D₅ → C₂² ⊆ Aut C₃²	30	8	C3^2:2(C2xF5)	360,128
C₃²⋊₃(C₂×F₅) = C₃⋊F₅⋊S₃	φ: C₂×F₅/D₅ → C₂² ⊆ Aut C₃²	30	8+	C3^2:3(C2xF5)	360,129
C₃²⋊₄(C₂×F₅) = C₂×C₃²⋊F₅	φ: C₂×F₅/C₁₀ → C₄ ⊆ Aut C₃²	60	4+	C3^2:4(C2xF5)	360,150
C₃²⋊₅(C₂×F₅) = C₃×S₃×F₅	φ: C₂×F₅/F₅ → C₂ ⊆ Aut C₃²	30	8	C3^2:5(C2xF5)	360,126
C₃²⋊₆(C₂×F₅) = C₃⋊S₃×F₅	φ: C₂×F₅/F₅ → C₂ ⊆ Aut C₃²	45		C3^2:6(C2xF5)	360,127
C₃²⋊₇(C₂×F₅) = C₆×C₃⋊F₅	φ: C₂×F₅/D₁₀ → C₂ ⊆ Aut C₃²	60	4	C3^2:7(C2xF5)	360,146
C₃²⋊₈(C₂×F₅) = C₂×C₃²⋊₃F₅	φ: C₂×F₅/D₁₀ → C₂ ⊆ Aut C₃²	90		C3^2:8(C2xF5)	360,147

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