Extensions 1→N→G→Q→1 with N=C₅×C₃⋊C₈ and Q=C₂

Direct product G=N×Q with N=C₅×C₃⋊C₈ and Q=C₂

		d	ρ	Label	ID
C₁₀×C₃⋊C₈		240		C10xC3:C8	240,54

Semidirect products G=N:Q with N=C₅×C₃⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₃⋊C₈)⋊₁C₂ = C₃⋊D₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊C₈	120	4+	(C5xC3:C8):1C2	240,14
(C₅×C₃⋊C₈)⋊₂C₂ = C₆.D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊C₈	120	4-	(C5xC3:C8):2C2	240,18
(C₅×C₃⋊C₈)⋊₃C₂ = C₁₅⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊C₈	120	4+	(C5xC3:C8):3C2	240,19
(C₅×C₃⋊C₈)⋊₄C₂ = D₅×C₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊C₈	120	4	(C5xC3:C8):4C2	240,7
(C₅×C₃⋊C₈)⋊₅C₂ = D₁₅⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊C₈	120	4	(C5xC3:C8):5C2	240,9
(C₅×C₃⋊C₈)⋊₆C₂ = C₂₀.₃₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊C₈	120	4	(C5xC3:C8):6C2	240,10
(C₅×C₃⋊C₈)⋊₇C₂ = D₃₀.₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊C₈	120	4	(C5xC3:C8):7C2	240,12
(C₅×C₃⋊C₈)⋊₈C₂ = C₅×D₄⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊C₈	120	4	(C5xC3:C8):8C2	240,60
(C₅×C₃⋊C₈)⋊₉C₂ = C₅×D₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊C₈	120	4	(C5xC3:C8):9C2	240,61
(C₅×C₃⋊C₈)⋊₁₀C₂ = C₅×Q₈⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊C₈	120	4	(C5xC3:C8):10C2	240,62
(C₅×C₃⋊C₈)⋊₁₁C₂ = C₅×C₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊C₈	120	2	(C5xC3:C8):11C2	240,50
(C₅×C₃⋊C₈)⋊₁₂C₂ = C₅×C₄.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊C₈	120	2	(C5xC3:C8):12C2	240,55
(C₅×C₃⋊C₈)⋊₁₃C₂ = S₃×C₄₀	φ: trivial image	120	2	(C5xC3:C8):13C2	240,49

Non-split extensions G=N.Q with N=C₅×C₃⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₃⋊C₈).₁C₂ = C₃⋊Dic₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊C₈	240	4-	(C5xC3:C8).1C2	240,23
(C₅×C₃⋊C₈).₂C₂ = C₅×C₃⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊C₈	240	4	(C5xC3:C8).2C2	240,63

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