Extensions 1→N→G→Q→1 with N=C₃×C₁₅ and Q=C₄

Direct product G=N×Q with N=C₃×C₁₅ and Q=C₄

		d	ρ	Label	ID
C₃×C₆₀		180		C3xC60	180,18

Semidirect products G=N:Q with N=C₃×C₁₅ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₁₅)⋊₁C₄ = C₃²⋊F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₃×C₁₅	30	4+	(C3xC15):1C4	180,25
(C₃×C₁₅)⋊₂C₄ = C₃²⋊₃F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₃×C₁₅	45		(C3xC15):2C4	180,22
(C₃×C₁₅)⋊₃C₄ = C₃×C₃⋊F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₃×C₁₅	30	4	(C3xC15):3C4	180,21
(C₃×C₁₅)⋊₄C₄ = C₃²×F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₃×C₁₅	45		(C3xC15):4C4	180,20
(C₃×C₁₅)⋊₅C₄ = C₅×C₃²⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₃×C₁₅	30	4	(C3xC15):5C4	180,23
(C₃×C₁₅)⋊₆C₄ = C₃²⋊Dic₅	φ: C₄/C₁ → C₄ ⊆ Aut C₃×C₁₅	30	4	(C3xC15):6C4	180,24
(C₃×C₁₅)⋊₇C₄ = C₃⋊Dic₁₅	φ: C₄/C₂ → C₂ ⊆ Aut C₃×C₁₅	180		(C3xC15):7C4	180,17
(C₃×C₁₅)⋊₈C₄ = C₃×Dic₁₅	φ: C₄/C₂ → C₂ ⊆ Aut C₃×C₁₅	60	2	(C3xC15):8C4	180,15
(C₃×C₁₅)⋊₉C₄ = C₃²×Dic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₃×C₁₅	180		(C3xC15):9C4	180,13
(C₃×C₁₅)⋊₁₀C₄ = Dic₃×C₁₅	φ: C₄/C₂ → C₂ ⊆ Aut C₃×C₁₅	60	2	(C3xC15):10C4	180,14
(C₃×C₁₅)⋊₁₁C₄ = C₅×C₃⋊Dic₃	φ: C₄/C₂ → C₂ ⊆ Aut C₃×C₁₅	180		(C3xC15):11C4	180,16

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁