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

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

		d	ρ	Label	ID
C₃×C₃⋊F₅		30	4	C3xC3:F5	180,21

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃⋊F₅) = C₃²⋊₃F₅	φ: C₃⋊F₅/C₃×D₅ → C₂ ⊆ Aut C₃	45		C3:(C3:F5)	180,22

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃⋊F₅) = C₉⋊F₅	φ: C₃⋊F₅/C₃×D₅ → C₂ ⊆ Aut C₃	45	4	C3.(C3:F5)	180,6

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