Extensions 1→N→G→Q→1 with N=C₃xC₁₂ and Q=D₅

Direct product G=NxQ with N=C₃xC₁₂ and Q=D₅

		d	ρ	Label	ID
D₅xC₃xC₁₂		180		D5xC3xC12	360,91

Semidirect products G=N:Q with N=C₃xC₁₂ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₁₂):₁D₅ = C₆₀:S₃	φ: D₅/C₅ → C₂ ⊆ Aut C₃xC₁₂	180		(C3xC12):1D5	360,112
(C₃xC₁₂):₂D₅ = C₃xD₆₀	φ: D₅/C₅ → C₂ ⊆ Aut C₃xC₁₂	120	2	(C3xC12):2D5	360,102
(C₃xC₁₂):₃D₅ = C₁₂xD₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃xC₁₂	120	2	(C3xC12):3D5	360,101
(C₃xC₁₂):₄D₅ = C₄xC₃:D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃xC₁₂	180		(C3xC12):4D5	360,111
(C₃xC₁₂):₅D₅ = C₃²xD₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₃xC₁₂	180		(C3xC12):5D5	360,92

Non-split extensions G=N.Q with N=C₃xC₁₂ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₁₂).₁D₅ = C₁₂.D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃xC₁₂	360		(C3xC12).1D5	360,110
(C₃xC₁₂).₂D₅ = C₃xDic₃₀	φ: D₅/C₅ → C₂ ⊆ Aut C₃xC₁₂	120	2	(C3xC12).2D5	360,100
(C₃xC₁₂).₃D₅ = C₃xC₁₅:₃C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₃xC₁₂	120	2	(C3xC12).3D5	360,35
(C₃xC₁₂).₄D₅ = C₆₀.S₃	φ: D₅/C₅ → C₂ ⊆ Aut C₃xC₁₂	360		(C3xC12).4D5	360,37
(C₃xC₁₂).₅D₅ = C₃²xDic₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₃xC₁₂	360		(C3xC12).5D5	360,90
(C₃xC₁₂).₆D₅ = C₃²xC₅:₂C₈	central extension (φ=1)	360		(C3xC12).6D5	360,33

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