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
C₂²×C₃⋊F₅		60		C2^2xC3:F5	240,201

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/D₅ → S₃ ⊆ Aut C₂²	20	12+	C2^2:(C3:F5)	240,192
C₂²⋊₂(C₃⋊F₅) = D₁₀.D₆	φ: C₃⋊F₅/C₃×D₅ → C₂ ⊆ Aut C₂²	60	4	C2^2:2(C3:F5)	240,124

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) = C₁₅⋊₈M₄(2)	φ: C₃⋊F₅/C₃×D₅ → C₂ ⊆ Aut C₂²	120	4	C2^2.(C3:F5)	240,123
C₂².₂(C₃⋊F₅) = C₂×C₁₅⋊C₈	central extension (φ=1)	240		C2^2.2(C3:F5)	240,122

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