Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄×C₁₅

Direct product G=N×Q with N=C₃ and Q=D₄×C₁₅

		d	ρ	Label	ID
D₄×C₃×C₁₅		180		D4xC3xC15	360,116

Semidirect products G=N:Q with N=C₃ and Q=D₄×C₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄×C₁₅) = C₁₅×D₁₂	φ: D₄×C₁₅/C₆₀ → C₂ ⊆ Aut C₃	120	2	C3:1(D4xC15)	360,97
C₃⋊₂(D₄×C₁₅) = C₁₅×C₃⋊D₄	φ: D₄×C₁₅/C₂×C₃₀ → C₂ ⊆ Aut C₃	60	2	C3:2(D4xC15)	360,99

Non-split extensions G=N.Q with N=C₃ and Q=D₄×C₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₄×C₁₅) = D₄×C₄₅	central extension (φ=1)	180	2	C3.(D4xC15)	360,31

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Extensions 1→N→G→Q→1 with N=C3 and Q=D4×C15