Extensions 1→N→G→Q→1 with N=C₅×C₁₅ and Q=C₆

Direct product G=N×Q with N=C₅×C₁₅ and Q=C₆

		d	ρ	Label	ID
C₁₅×C₃₀		450		C15xC30	450,34

Semidirect products G=N:Q with N=C₅×C₁₅ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅×C₁₅)⋊₁C₆ = C₅⋊D₁₅⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₅×C₁₅	45	6+	(C5xC15):1C6	450,24
(C₅×C₁₅)⋊₂C₆ = C₃×C₅²⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₅×C₁₅	45	6	(C5xC15):2C6	450,22
(C₅×C₁₅)⋊₃C₆ = S₃×C₅²⋊C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₅×C₁₅	45	6	(C5xC15):3C6	450,23
(C₅×C₁₅)⋊₄C₆ = C₆×C₅²⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₅×C₁₅	90	3	(C5xC15):4C6	450,25
(C₅×C₁₅)⋊₅C₆ = C₃×C₅⋊D₁₅	φ: C₆/C₃ → C₂ ⊆ Aut C₅×C₁₅	150		(C5xC15):5C6	450,30
(C₅×C₁₅)⋊₆C₆ = C₁₅×D₁₅	φ: C₆/C₃ → C₂ ⊆ Aut C₅×C₁₅	30	2	(C5xC15):6C6	450,29
(C₅×C₁₅)⋊₇C₆ = D₅×C₃×C₁₅	φ: C₆/C₃ → C₂ ⊆ Aut C₅×C₁₅	90		(C5xC15):7C6	450,26
(C₅×C₁₅)⋊₈C₆ = C₃²×C₅⋊D₅	φ: C₆/C₃ → C₂ ⊆ Aut C₅×C₁₅	225		(C5xC15):8C6	450,27
(C₅×C₁₅)⋊₉C₆ = S₃×C₅×C₁₅	φ: C₆/C₃ → C₂ ⊆ Aut C₅×C₁₅	150		(C5xC15):9C6	450,28

Non-split extensions G=N.Q with N=C₅×C₁₅ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅×C₁₅).C₆ = C₅²⋊C₁₈	φ: C₆/C₁ → C₆ ⊆ Aut C₅×C₁₅	45	6	(C5xC15).C6	450,12
(C₅×C₁₅).₂C₆ = C₂×C₅²⋊C₉	φ: C₆/C₂ → C₃ ⊆ Aut C₅×C₁₅	90	3	(C5xC15).2C6	450,13
(C₅×C₁₅).₃C₆ = D₅×C₄₅	φ: C₆/C₃ → C₂ ⊆ Aut C₅×C₁₅	90	2	(C5xC15).3C6	450,14
(C₅×C₁₅).₄C₆ = C₉×C₅⋊D₅	φ: C₆/C₃ → C₂ ⊆ Aut C₅×C₁₅	225		(C5xC15).4C6	450,15

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