Extensions 1→N→G→Q→1 with N=C₄ and Q=C₉×D₅

Direct product G=N×Q with N=C₄ and Q=C₉×D₅

		d	ρ	Label	ID
D₅×C₃₆		180	2	D5xC36	360,16

Semidirect products G=N:Q with N=C₄ and Q=C₉×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₉×D₅) = C₉×D₂₀	φ: C₉×D₅/C₄₅ → C₂ ⊆ Aut C₄	180	2	C4:(C9xD5)	360,17

Non-split extensions G=N.Q with N=C₄ and Q=C₉×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₉×D₅) = C₉×Dic₁₀	φ: C₉×D₅/C₄₅ → C₂ ⊆ Aut C₄	360	2	C4.(C9xD5)	360,15
C₄.₂(C₉×D₅) = C₉×C₅⋊₂C₈	central extension (φ=1)	360	2	C4.2(C9xD5)	360,2

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Extensions 1→N→G→Q→1 with N=C4 and Q=C9×D5