Extensions 1→N→G→Q→1 with N=C₃×C₁₂ and Q=D₅

Direct product G=N×Q with N=C₃×C₁₂ and Q=D₅

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

Semidirect products G=N:Q with N=C₃×C₁₂ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₁₂)⋊₁D₅ = C₆₀⋊S₃	φ: D₅/C₅ → C₂ ⊆ Aut C₃×C₁₂	180		(C3xC12):1D5	360,112
(C₃×C₁₂)⋊₂D₅ = C₃×D₆₀	φ: D₅/C₅ → C₂ ⊆ Aut C₃×C₁₂	120	2	(C3xC12):2D5	360,102
(C₃×C₁₂)⋊₃D₅ = C₁₂×D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃×C₁₂	120	2	(C3xC12):3D5	360,101
(C₃×C₁₂)⋊₄D₅ = C₄×C₃⋊D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃×C₁₂	180		(C3xC12):4D5	360,111
(C₃×C₁₂)⋊₅D₅ = C₃²×D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₃×C₁₂	180		(C3xC12):5D5	360,92

Non-split extensions G=N.Q with N=C₃×C₁₂ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₁₂).₁D₅ = C₁₂.D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃×C₁₂	360		(C3xC12).1D5	360,110
(C₃×C₁₂).₂D₅ = C₃×Dic₃₀	φ: D₅/C₅ → C₂ ⊆ Aut C₃×C₁₂	120	2	(C3xC12).2D5	360,100
(C₃×C₁₂).₃D₅ = C₃×C₁₅⋊₃C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₃×C₁₂	120	2	(C3xC12).3D5	360,35
(C₃×C₁₂).₄D₅ = C₆₀.S₃	φ: D₅/C₅ → C₂ ⊆ Aut C₃×C₁₂	360		(C3xC12).4D5	360,37
(C₃×C₁₂).₅D₅ = C₃²×Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₃×C₁₂	360		(C3xC12).5D5	360,90
(C₃×C₁₂).₆D₅ = C₃²×C₅⋊₂C₈	central extension (φ=1)	360		(C3xC12).6D5	360,33

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