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

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

		d	ρ	Label	ID
D₅×C₁₂		60	2	D5xC12	120,17

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁D₅ = D₆₀	φ: D₅/C₅ → C₂ ⊆ Aut C₁₂	60	2+	C12:1D5	120,28
C₁₂⋊₂D₅ = C₄×D₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₁₂	60	2	C12:2D5	120,27
C₁₂⋊₃D₅ = C₃×D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₁₂	60	2	C12:3D5	120,18

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁D₅ = Dic₃₀	φ: D₅/C₅ → C₂ ⊆ Aut C₁₂	120	2-	C12.1D5	120,26
C₁₂.₂D₅ = C₁₅⋊₃C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₁₂	120	2	C12.2D5	120,3
C₁₂.₃D₅ = C₃×Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₁₂	120	2	C12.3D5	120,16
C₁₂.₄D₅ = C₃×C₅⋊₂C₈	central extension (φ=1)	120	2	C12.4D5	120,2

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