Extensions 1→N→G→Q→1 with N=C₃₆ and Q=D₅

Direct product G=NxQ with N=C₃₆ and Q=D₅

		d	ρ	Label	ID
D₅xC₃₆		180	2	D5xC36	360,16

Semidirect products G=N:Q with N=C₃₆ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₆:₁D₅ = D₁₈₀	φ: D₅/C₅ → C₂ ⊆ Aut C₃₆	180	2+	C36:1D5	360,27
C₃₆:₂D₅ = C₄xD₄₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃₆	180	2	C36:2D5	360,26
C₃₆:₃D₅ = C₉xD₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₃₆	180	2	C36:3D5	360,17

Non-split extensions G=N.Q with N=C₃₆ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₆.₁D₅ = Dic₉₀	φ: D₅/C₅ → C₂ ⊆ Aut C₃₆	360	2-	C36.1D5	360,25
C₃₆.₂D₅ = C₄₅:₃C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₃₆	360	2	C36.2D5	360,3
C₃₆.₃D₅ = C₉xDic₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₃₆	360	2	C36.3D5	360,15
C₃₆.₄D₅ = C₉xC₅:₂C₈	central extension (φ=1)	360	2	C36.4D5	360,2

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