Extensions 1→N→G→Q→1 with N=C₅×C₁₅ and Q=C₄

Direct product G=N×Q with N=C₅×C₁₅ and Q=C₄

		d	ρ	Label	ID
C₅×C₆₀		300		C5xC60	300,21

Semidirect products G=N:Q with N=C₅×C₁₅ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₅×C₁₅)⋊₁C₄ = D₅.D₁₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅×C₁₅	60	4	(C5xC15):1C4	300,33
(C₅×C₁₅)⋊₂C₄ = C₅×C₃⋊F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅×C₁₅	60	4	(C5xC15):2C4	300,32
(C₅×C₁₅)⋊₃C₄ = C₁₅⋊F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅×C₁₅	75		(C5xC15):3C4	300,34
(C₅×C₁₅)⋊₄C₄ = C₁₅⋊₂F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅×C₁₅	30	4	(C5xC15):4C4	300,35
(C₅×C₁₅)⋊₅C₄ = C₁₅×F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅×C₁₅	60	4	(C5xC15):5C4	300,28
(C₅×C₁₅)⋊₆C₄ = C₃×D₅.D₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅×C₁₅	60	4	(C5xC15):6C4	300,29
(C₅×C₁₅)⋊₇C₄ = C₃×C₅⋊F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₅×C₁₅	75		(C5xC15):7C4	300,30
(C₅×C₁₅)⋊₈C₄ = C₃×C₅²⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₅×C₁₅	30	4	(C5xC15):8C4	300,31
(C₅×C₁₅)⋊₉C₄ = C₃₀.D₅	φ: C₄/C₂ → C₂ ⊆ Aut C₅×C₁₅	300		(C5xC15):9C4	300,20
(C₅×C₁₅)⋊₁₀C₄ = C₅×Dic₁₅	φ: C₄/C₂ → C₂ ⊆ Aut C₅×C₁₅	60	2	(C5xC15):10C4	300,19
(C₅×C₁₅)⋊₁₁C₄ = C₁₅×Dic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₅×C₁₅	60	2	(C5xC15):11C4	300,16
(C₅×C₁₅)⋊₁₂C₄ = C₃×C₅²⋊₆C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₅×C₁₅	300		(C5xC15):12C4	300,17
(C₅×C₁₅)⋊₁₃C₄ = Dic₃×C₅²	φ: C₄/C₂ → C₂ ⊆ Aut C₅×C₁₅	300		(C5xC15):13C4	300,18

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