Extensions 1→N→G→Q→1 with N=D₆ and Q=D₅

Direct product G=N×Q with N=D₆ and Q=D₅

		d	ρ	Label	ID
C₂×S₃×D₅		30	4+	C2xS3xD5	120,42

Semidirect products G=N:Q with N=D₆ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁D₅ = C₁₅⋊D₄	φ: D₅/C₅ → C₂ ⊆ Out D₆	60	4-	D6:1D5	120,11
D₆⋊₂D₅ = C₅⋊D₁₂	φ: D₅/C₅ → C₂ ⊆ Out D₆	60	4+	D6:2D5	120,13

Non-split extensions G=N.Q with N=D₆ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.D₅ = S₃×Dic₅	φ: trivial image	60	4-	D6.D5	120,9

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Extensions 1→N→G→Q→1 with N=D6 and Q=D5