Extensions 1→N→G→Q→1 with N=C₂xC₆ and Q=D₅

Direct product G=NxQ with N=C₂xC₆ and Q=D₅

		d	ρ	Label	ID
D₅xC₂xC₆		60		D5xC2xC6	120,44

Semidirect products G=N:Q with N=C₂xC₆ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆):₁D₅ = C₃xC₅:D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₆	60	2	(C2xC6):1D5	120,20
(C₂xC₆):₂D₅ = C₁₅:₇D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₆	60	2	(C2xC6):2D5	120,30
(C₂xC₆):₃D₅ = C₂²xD₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₆	60		(C2xC6):3D5	120,46

Non-split extensions G=N.Q with N=C₂xC₆ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆).D₅ = C₂xDic₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂xC₆	120		(C2xC6).D5	120,29
(C₂xC₆).₂D₅ = C₆xDic₅	central extension (φ=1)	120		(C2xC6).2D5	120,19

Extensions 1→N→G→Q→1 with N=C2xC6 and Q=D5