Extensions 1→N→G→Q→1 with N=C₅xC₁₅ and Q=C₆

Direct product G=NxQ with N=C₅xC₁₅ and Q=C₆

		d	ρ	Label	ID
C₁₅xC₃₀		450		C15xC30	450,34

Semidirect products G=N:Q with N=C₅xC₁₅ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅xC₁₅):₁C₆ = C₅:D₁₅:C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₅xC₁₅	45	6+	(C5xC15):1C6	450,24
(C₅xC₁₅):₂C₆ = C₃xC₅²:C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₅xC₁₅	45	6	(C5xC15):2C6	450,22
(C₅xC₁₅):₃C₆ = S₃xC₅²:C₃	φ: C₆/C₁ → C₆ ⊆ Aut C₅xC₁₅	45	6	(C5xC15):3C6	450,23
(C₅xC₁₅):₄C₆ = C₆xC₅²:C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₅xC₁₅	90	3	(C5xC15):4C6	450,25
(C₅xC₁₅):₅C₆ = C₃xC₅:D₁₅	φ: C₆/C₃ → C₂ ⊆ Aut C₅xC₁₅	150		(C5xC15):5C6	450,30
(C₅xC₁₅):₆C₆ = C₁₅xD₁₅	φ: C₆/C₃ → C₂ ⊆ Aut C₅xC₁₅	30	2	(C5xC15):6C6	450,29
(C₅xC₁₅):₇C₆ = D₅xC₃xC₁₅	φ: C₆/C₃ → C₂ ⊆ Aut C₅xC₁₅	90		(C5xC15):7C6	450,26
(C₅xC₁₅):₈C₆ = C₃²xC₅:D₅	φ: C₆/C₃ → C₂ ⊆ Aut C₅xC₁₅	225		(C5xC15):8C6	450,27
(C₅xC₁₅):₉C₆ = S₃xC₅xC₁₅	φ: C₆/C₃ → C₂ ⊆ Aut C₅xC₁₅	150		(C5xC15):9C6	450,28

Non-split extensions G=N.Q with N=C₅xC₁₅ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅xC₁₅).C₆ = C₅²:C₁₈	φ: C₆/C₁ → C₆ ⊆ Aut C₅xC₁₅	45	6	(C5xC15).C6	450,12
(C₅xC₁₅).₂C₆ = C₂xC₅²:C₉	φ: C₆/C₂ → C₃ ⊆ Aut C₅xC₁₅	90	3	(C5xC15).2C6	450,13
(C₅xC₁₅).₃C₆ = D₅xC₄₅	φ: C₆/C₃ → C₂ ⊆ Aut C₅xC₁₅	90	2	(C5xC15).3C6	450,14
(C₅xC₁₅).₄C₆ = C₉xC₅:D₅	φ: C₆/C₃ → C₂ ⊆ Aut C₅xC₁₅	225		(C5xC15).4C6	450,15

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