Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃×D₁₅

Direct product G=N×Q with N=C₂² and Q=C₃×D₁₅

		d	ρ	Label	ID
C₂×C₆×D₁₅		120		C2xC6xD15	360,159

Semidirect products G=N:Q with N=C₂² and Q=C₃×D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃×D₁₅) = C₃×C₅⋊S₄	φ: C₃×D₁₅/C₁₅ → S₃ ⊆ Aut C₂²	60	6	C2^2:(C3xD15)	360,139
C₂²⋊₂(C₃×D₁₅) = A₄×D₁₅	φ: C₃×D₁₅/D₁₅ → C₃ ⊆ Aut C₂²	60	6+	C2^2:2(C3xD15)	360,144
C₂²⋊₃(C₃×D₁₅) = C₃×C₁₅⋊₇D₄	φ: C₃×D₁₅/C₃×C₁₅ → C₂ ⊆ Aut C₂²	60	2	C2^2:3(C3xD15)	360,104

Non-split extensions G=N.Q with N=C₂² and Q=C₃×D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃×D₁₅) = C₆×Dic₁₅	central extension (φ=1)	120		C2^2.(C3xD15)	360,103

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Extensions 1→N→G→Q→1 with N=C22 and Q=C3×D15