Extensions 1→N→G→Q→1 with N=C₂×C₃⋊C₈ and Q=C₁₀

Direct product G=N×Q with N=C₂×C₃⋊C₈ and Q=C₁₀

		d	ρ	Label	ID
C₂×C₁₀×C₃⋊C₈		480		C2xC10xC3:C8	480,799

Semidirect products G=N:Q with N=C₂×C₃⋊C₈ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃⋊C₈)⋊₁C₁₀ = C₅×C₆.D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	240		(C2xC3:C8):1C10	480,128
(C₂×C₃⋊C₈)⋊₂C₁₀ = C₅×D₄⋊Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	240		(C2xC3:C8):2C10	480,151
(C₂×C₃⋊C₈)⋊₃C₁₀ = C₅×D₁₂.C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	240	4	(C2xC3:C8):3C10	480,786
(C₂×C₃⋊C₈)⋊₄C₁₀ = C₁₀×D₄⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	240		(C2xC3:C8):4C10	480,810
(C₂×C₃⋊C₈)⋊₅C₁₀ = C₁₀×D₄.S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	240		(C2xC3:C8):5C10	480,812
(C₂×C₃⋊C₈)⋊₆C₁₀ = C₁₀×Q₈⋊₂S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	240		(C2xC3:C8):6C10	480,820
(C₂×C₃⋊C₈)⋊₇C₁₀ = C₅×D₄.Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	240	4	(C2xC3:C8):7C10	480,827
(C₂×C₃⋊C₈)⋊₈C₁₀ = C₅×Q₈.₁₃D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	240	4	(C2xC3:C8):8C10	480,829
(C₂×C₃⋊C₈)⋊₉C₁₀ = C₅×D₆⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	240		(C2xC3:C8):9C10	480,139
(C₂×C₃⋊C₈)⋊₁₀C₁₀ = C₅×C₁₂.₅₅D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	240		(C2xC3:C8):10C10	480,149
(C₂×C₃⋊C₈)⋊₁₁C₁₀ = C₁₀×C₈⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	240		(C2xC3:C8):11C10	480,779
(C₂×C₃⋊C₈)⋊₁₂C₁₀ = C₁₀×C₄.Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	240		(C2xC3:C8):12C10	480,800
(C₂×C₃⋊C₈)⋊₁₃C₁₀ = S₃×C₂×C₄₀	φ: trivial image	240		(C2xC3:C8):13C10	480,778

Non-split extensions G=N.Q with N=C₂×C₃⋊C₈ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃⋊C₈).₁C₁₀ = C₅×C₆.Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	480		(C2xC3:C8).1C10	480,126
(C₂×C₃⋊C₈).₂C₁₀ = C₅×C₁₂.Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	480		(C2xC3:C8).2C10	480,127
(C₂×C₃⋊C₈).₃C₁₀ = C₅×C₆.SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	480		(C2xC3:C8).3C10	480,129
(C₂×C₃⋊C₈).₄C₁₀ = C₅×C₁₂.₅₃D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	240	4	(C2xC3:C8).4C10	480,141
(C₂×C₃⋊C₈).₅C₁₀ = C₅×Q₈⋊₂Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	480		(C2xC3:C8).5C10	480,154
(C₂×C₃⋊C₈).₆C₁₀ = C₁₀×C₃⋊Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	480		(C2xC3:C8).6C10	480,822
(C₂×C₃⋊C₈).₇C₁₀ = C₅×C₄².S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	480		(C2xC3:C8).7C10	480,122
(C₂×C₃⋊C₈).₈C₁₀ = C₅×C₁₂⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	480		(C2xC3:C8).8C10	480,123
(C₂×C₃⋊C₈).₉C₁₀ = C₅×Dic₃⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	480		(C2xC3:C8).9C10	480,133
(C₂×C₃⋊C₈).₁₀C₁₀ = C₅×C₂₄⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×C₃⋊C₈	480		(C2xC3:C8).10C10	480,134
(C₂×C₃⋊C₈).₁₁C₁₀ = C₂₀×C₃⋊C₈	φ: trivial image	480		(C2xC3:C8).11C10	480,121
(C₂×C₃⋊C₈).₁₂C₁₀ = Dic₃×C₄₀	φ: trivial image	480		(C2xC3:C8).12C10	480,132

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