Extensions 1→N→G→Q→1 with N=Dic₆ and Q=D₅

Direct product G=NxQ with N=Dic₆ and Q=D₅

		d	ρ	Label	ID
D₅xDic₆		120	4-	D5xDic6	240,125

Semidirect products G=N:Q with N=Dic₆ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆:₁D₅ = Dic₆:D₅	φ: D₅/C₅ → C₂ ⊆ Out Dic₆	120	4+	Dic6:1D5	240,21
Dic₆:₂D₅ = C₃₀.D₄	φ: D₅/C₅ → C₂ ⊆ Out Dic₆	120	4	Dic6:2D5	240,16
Dic₆:₃D₅ = D₂₀:S₃	φ: D₅/C₅ → C₂ ⊆ Out Dic₆	120	4	Dic6:3D5	240,127
Dic₆:₄D₅ = D₁₅:Q₈	φ: D₅/C₅ → C₂ ⊆ Out Dic₆	120	4	Dic6:4D5	240,131
Dic₆:₅D₅ = C₁₂.₂₈D₁₀	φ: trivial image	120	4+	Dic6:5D5	240,134

Non-split extensions G=N.Q with N=Dic₆ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆.₁D₅ = C₅:Dic₁₂	φ: D₅/C₅ → C₂ ⊆ Out Dic₆	240	4-	Dic6.1D5	240,24
Dic₆.₂D₅ = C₁₅:Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out Dic₆	240	4	Dic6.2D5	240,22

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