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

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

		d	ρ	Label	ID
C₂×D₅×C₃⋊C₈		240		C2xD5xC3:C8	480,357

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃⋊C₈)⋊₁D₅ = C₆.D₄₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	240		(C2xC3:C8):1D5	480,41
(C₂×C₃⋊C₈)⋊₂D₅ = D₆₀⋊₁₂C₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	240		(C2xC3:C8):2D5	480,44
(C₂×C₃⋊C₈)⋊₃D₅ = D₂₀.₃Dic₃	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	240	4	(C2xC3:C8):3D5	480,359
(C₂×C₃⋊C₈)⋊₄D₅ = D₆₀.₄C₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	240	4	(C2xC3:C8):4D5	480,367
(C₂×C₃⋊C₈)⋊₅D₅ = C₂×C₃⋊D₄₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	240		(C2xC3:C8):5D5	480,376
(C₂×C₃⋊C₈)⋊₆D₅ = C₂×C₆.D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	240		(C2xC3:C8):6D5	480,386
(C₂×C₃⋊C₈)⋊₇D₅ = D₂₀.₃₁D₆	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	240	4	(C2xC3:C8):7D5	480,387
(C₂×C₃⋊C₈)⋊₈D₅ = C₂×C₁₅⋊SD₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	240		(C2xC3:C8):8D5	480,390
(C₂×C₃⋊C₈)⋊₉D₅ = C₆₀.₉₃D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	240		(C2xC3:C8):9D5	480,31
(C₂×C₃⋊C₈)⋊₁₀D₅ = D₃₀⋊₄C₈	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	240		(C2xC3:C8):10D5	480,33
(C₂×C₃⋊C₈)⋊₁₁D₅ = C₂×C₂₀.₃₂D₆	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	240		(C2xC3:C8):11D5	480,369
(C₂×C₃⋊C₈)⋊₁₂D₅ = C₂×D₃₀.₅C₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	240		(C2xC3:C8):12D5	480,371
(C₂×C₃⋊C₈)⋊₁₃D₅ = C₂×D₁₅⋊₂C₈	φ: trivial image	240		(C2xC3:C8):13D5	480,365

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃⋊C₈).₁D₅ = C₆.Dic₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	480		(C2xC3:C8).1D5	480,47
(C₂×C₃⋊C₈).₂D₅ = Dic₃₀⋊₁₂C₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	480		(C2xC3:C8).2D5	480,50
(C₂×C₃⋊C₈).₃D₅ = C₆₀.Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	480		(C2xC3:C8).3D5	480,63
(C₂×C₃⋊C₈).₄D₅ = C₆₀.₅Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	480		(C2xC3:C8).4D5	480,66
(C₂×C₃⋊C₈).₅D₅ = C₁₂.₅₉D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	240	4	(C2xC3:C8).5D5	480,69
(C₂×C₃⋊C₈).₆D₅ = C₂×C₃⋊Dic₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	480		(C2xC3:C8).6D5	480,395
(C₂×C₃⋊C₈).₇D₅ = C₃₀.₂₁C₄²	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	480		(C2xC3:C8).7D5	480,28
(C₂×C₃⋊C₈).₈D₅ = C₃₀.₂₃C₄²	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	480		(C2xC3:C8).8D5	480,30
(C₂×C₃⋊C₈).₉D₅ = C₆₀.₁₃Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	480		(C2xC3:C8).9D5	480,58
(C₂×C₃⋊C₈).₁₀D₅ = C₆₀.₁₄Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	480		(C2xC3:C8).10D5	480,59
(C₂×C₃⋊C₈).₁₁D₅ = Dic₅×C₃⋊C₈	φ: trivial image	480		(C2xC3:C8).11D5	480,25
(C₂×C₃⋊C₈).₁₂D₅ = Dic₁₅⋊₄C₈	φ: trivial image	480		(C2xC3:C8).12D5	480,27

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