Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃²×D₅

Direct product G=N×Q with N=C₄ and Q=C₃²×D₅

		d	ρ	Label	ID
D₅×C₃×C₁₂		180		D5xC3xC12	360,91

Semidirect products G=N:Q with N=C₄ and Q=C₃²×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₃²×D₅) = C₃²×D₂₀	φ: C₃²×D₅/C₃×C₁₅ → C₂ ⊆ Aut C₄	180		C4:(C3^2xD5)	360,92

Non-split extensions G=N.Q with N=C₄ and Q=C₃²×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₃²×D₅) = C₃²×Dic₁₀	φ: C₃²×D₅/C₃×C₁₅ → C₂ ⊆ Aut C₄	360		C4.(C3^2xD5)	360,90
C₄.₂(C₃²×D₅) = C₃²×C₅⋊₂C₈	central extension (φ=1)	360		C4.2(C3^2xD5)	360,33

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Extensions 1→N→G→Q→1 with N=C4 and Q=C32×D5