Extensions 1→N→G→Q→1 with N=C₃×D₅⋊C₈ and Q=C₂

Direct product G=N×Q with N=C₃×D₅⋊C₈ and Q=C₂

		d	ρ	Label	ID
C₆×D₅⋊C₈		240		C6xD5:C8	480,1047

Semidirect products G=N:Q with N=C₃×D₅⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₅⋊C₈)⋊₁C₂ = D₁₂⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₅⋊C₈	120	8+	(C3xD5:C8):1C2	480,228
(C₃×D₅⋊C₈)⋊₂C₂ = D₁₂.₂F₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₅⋊C₈	240	8-	(C3xD5:C8):2C2	480,987
(C₃×D₅⋊C₈)⋊₃C₂ = D₆₀.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₅⋊C₈	240	8+	(C3xD5:C8):3C2	480,990
(C₃×D₅⋊C₈)⋊₄C₂ = S₃×D₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₅⋊C₈	120	8	(C3xD5:C8):4C2	480,986
(C₃×D₅⋊C₈)⋊₅C₂ = C₅⋊C₈⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₅⋊C₈	120	8	(C3xD5:C8):5C2	480,993
(C₃×D₅⋊C₈)⋊₆C₂ = C₃×D₂₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₅⋊C₈	120	8	(C3xD5:C8):6C2	480,287
(C₃×D₅⋊C₈)⋊₇C₂ = C₃×D₄.F₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₅⋊C₈	240	8	(C3xD5:C8):7C2	480,1053
(C₃×D₅⋊C₈)⋊₈C₂ = C₃×Q₈.F₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₅⋊C₈	240	8	(C3xD5:C8):8C2	480,1055
(C₃×D₅⋊C₈)⋊₉C₂ = C₃×D₅⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₅⋊C₈	120	4	(C3xD5:C8):9C2	480,1049

Non-split extensions G=N.Q with N=C₃×D₅⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₅⋊C₈).₁C₂ = Dic₃₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₅⋊C₈	120	8-	(C3xD5:C8).1C2	480,230
(C₃×D₅⋊C₈).₂C₂ = C₃₀.C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₅⋊C₈	120	8	(C3xD5:C8).2C2	480,224
(C₃×D₅⋊C₈).₃C₂ = C₃₀.₄C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₅⋊C₈	120	8	(C3xD5:C8).3C2	480,226
(C₃×D₅⋊C₈).₄C₂ = C₃×Q₈⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₅⋊C₈	120	8	(C3xD5:C8).4C2	480,289
(C₃×D₅⋊C₈).₅C₂ = C₃×C₈⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₅⋊C₈	120	4	(C3xD5:C8).5C2	480,272
(C₃×D₅⋊C₈).₆C₂ = F₅×C₂₄	φ: trivial image	120	4	(C3xD5:C8).6C2	480,271

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