Extensions 1→N→G→Q→1 with N=C₁₅ and Q=D₆

Direct product G=N×Q with N=C₁₅ and Q=D₆

		d	ρ	Label	ID
S₃×C₃₀		60	2	S3xC30	180,33

Semidirect products G=N:Q with N=C₁₅ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁D₆ = D₅×C₃⋊S₃	φ: D₆/C₃ → C₂² ⊆ Aut C₁₅	45		C15:1D6	180,27
C₁₅⋊₂D₆ = S₃×D₁₅	φ: D₆/C₃ → C₂² ⊆ Aut C₁₅	30	4+	C15:2D6	180,29
C₁₅⋊₃D₆ = D₁₅⋊S₃	φ: D₆/C₃ → C₂² ⊆ Aut C₁₅	30	4	C15:3D6	180,30
C₁₅⋊₄D₆ = C₃×S₃×D₅	φ: D₆/S₃ → C₂ ⊆ Aut C₁₅	30	4	C15:4D6	180,26
C₁₅⋊₅D₆ = C₅×S₃²	φ: D₆/S₃ → C₂ ⊆ Aut C₁₅	30	4	C15:5D6	180,28
C₁₅⋊₆D₆ = C₂×C₃⋊D₁₅	φ: D₆/C₆ → C₂ ⊆ Aut C₁₅	90		C15:6D6	180,36
C₁₅⋊₇D₆ = C₆×D₁₅	φ: D₆/C₆ → C₂ ⊆ Aut C₁₅	60	2	C15:7D6	180,34
C₁₅⋊₈D₆ = C₁₀×C₃⋊S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₁₅	90		C15:8D6	180,35

Non-split extensions G=N.Q with N=C₁₅ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.D₆ = D₅×D₉	φ: D₆/C₃ → C₂² ⊆ Aut C₁₅	45	4+	C15.D6	180,7
C₁₅.₂D₆ = D₉₀	φ: D₆/C₆ → C₂ ⊆ Aut C₁₅	90	2+	C15.2D6	180,11
C₁₅.₃D₆ = C₁₀×D₉	φ: D₆/C₆ → C₂ ⊆ Aut C₁₅	90	2	C15.3D6	180,10

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