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

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

		d	ρ	Label	ID
C₂×C₆×F₅		60		C2xC6xF5	240,200

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃×F₅) = A₄×F₅	φ: C₃×F₅/F₅ → C₃ ⊆ Aut C₂²	20	12+	C2^2:(C3xF5)	240,193
C₂²⋊₂(C₃×F₅) = C₃×C₂²⋊F₅	φ: C₃×F₅/C₃×D₅ → C₂ ⊆ Aut C₂²	60	4	C2^2:2(C3xF5)	240,117

Non-split extensions G=N.Q with N=C₂² and Q=C₃×F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃×F₅) = C₃×C₂².F₅	φ: C₃×F₅/C₃×D₅ → C₂ ⊆ Aut C₂²	120	4	C2^2.(C3xF5)	240,116
C₂².₂(C₃×F₅) = C₆×C₅⋊C₈	central extension (φ=1)	240		C2^2.2(C3xF5)	240,115

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