Extensions 1→N→G→Q→1 with N=C₁₂ and Q=D₁₅

Direct product G=N×Q with N=C₁₂ and Q=D₁₅

		d	ρ	Label	ID
C₁₂×D₁₅		120	2	C12xD15	360,101

Semidirect products G=N:Q with N=C₁₂ and Q=D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁D₁₅ = C₆₀⋊S₃	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₁₂	180		C12:1D15	360,112
C₁₂⋊₂D₁₅ = C₄×C₃⋊D₁₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₁₂	180		C12:2D15	360,111
C₁₂⋊₃D₁₅ = C₃×D₆₀	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₁₂	120	2	C12:3D15	360,102

Non-split extensions G=N.Q with N=C₁₂ and Q=D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁D₁₅ = Dic₉₀	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₁₂	360	2-	C12.1D15	360,25
C₁₂.₂D₁₅ = D₁₈₀	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₁₂	180	2+	C12.2D15	360,27
C₁₂.₃D₁₅ = C₁₂.D₁₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₁₂	360		C12.3D15	360,110
C₁₂.₄D₁₅ = C₄₅⋊₃C₈	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₁₂	360	2	C12.4D15	360,3
C₁₂.₅D₁₅ = C₄×D₄₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₁₂	180	2	C12.5D15	360,26
C₁₂.₆D₁₅ = C₆₀.S₃	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₁₂	360		C12.6D15	360,37
C₁₂.₇D₁₅ = C₃×Dic₃₀	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₁₂	120	2	C12.7D15	360,100
C₁₂.₈D₁₅ = C₃×C₁₅⋊₃C₈	central extension (φ=1)	120	2	C12.8D15	360,35

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