Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₂².F₅

Direct product G=N×Q with N=C₃ and Q=C₂×C₂².F₅

		d	ρ	Label	ID
C₆×C₂².F₅		240		C6xC2^2.F5	480,1058

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₂².F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×C₂².F₅) = C₂×D₆.F₅	φ: C₂×C₂².F₅/C₂×C₅⋊C₈ → C₂ ⊆ Aut C₃	240		C3:1(C2xC2^2.F5)	480,1008
C₃⋊₂(C₂×C₂².F₅) = S₃×C₂².F₅	φ: C₂×C₂².F₅/C₂².F₅ → C₂ ⊆ Aut C₃	120	8-	C3:2(C2xC2^2.F5)	480,1004
C₃⋊₃(C₂×C₂².F₅) = C₂×C₁₅⋊₈M₄(2)	φ: C₂×C₂².F₅/C₂²×Dic₅ → C₂ ⊆ Aut C₃	240		C3:3(C2xC2^2.F5)	480,1071

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