Extensions 1→N→G→Q→1 with N=C₁₅ and Q=C₂×C₆

Direct product G=N×Q with N=C₁₅ and Q=C₂×C₆

		d	ρ	Label	ID
C₆×C₃₀		180		C6xC30	180,37

Semidirect products G=N:Q with N=C₁₅ and Q=C₂×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊(C₂×C₆) = C₃×S₃×D₅	φ: C₂×C₆/C₃ → C₂² ⊆ Aut C₁₅	30	4	C15:(C2xC6)	180,26
C₁₅⋊₂(C₂×C₆) = C₆×D₁₅	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₁₅	60	2	C15:2(C2xC6)	180,34
C₁₅⋊₃(C₂×C₆) = D₅×C₃×C₆	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₁₅	90		C15:3(C2xC6)	180,32
C₁₅⋊₄(C₂×C₆) = S₃×C₃₀	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₁₅	60	2	C15:4(C2xC6)	180,33

Non-split extensions G=N.Q with N=C₁₅ and Q=C₂×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅.(C₂×C₆) = D₅×C₁₈	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₁₅	90	2	C15.(C2xC6)	180,9

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Extensions 1→N→G→Q→1 with N=C15 and Q=C2×C6