Extensions 1→N→G→Q→1 with N=C₆ and Q=D₅

Direct product G=N×Q with N=C₆ and Q=D₅

		d	ρ	Label	ID
C₆×D₅		30	2	C6xD5	60,10

Semidirect products G=N:Q with N=C₆ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊D₅ = D₃₀	φ: D₅/C₅ → C₂ ⊆ Aut C₆	30	2+	C6:D5	60,12

Non-split extensions G=N.Q with N=C₆ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.D₅ = Dic₁₅	φ: D₅/C₅ → C₂ ⊆ Aut C₆	60	2-	C6.D5	60,3
C₆.₂D₅ = C₃×Dic₅	central extension (φ=1)	60	2	C6.2D5	60,2

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Extensions 1→N→G→Q→1 with N=C6 and Q=D5