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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₈⋊₁C₁₀ = C₅×D₄⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₃⋊C₈	120	4	C3:C8:1C10	240,60
C₃⋊C₈⋊₂C₁₀ = C₅×D₄.S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₃⋊C₈	120	4	C3:C8:2C10	240,61
C₃⋊C₈⋊₃C₁₀ = C₅×Q₈⋊₂S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₃⋊C₈	120	4	C3:C8:3C10	240,62
C₃⋊C₈⋊₄C₁₀ = C₅×C₈⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₃⋊C₈	120	2	C3:C8:4C10	240,50
C₃⋊C₈⋊₅C₁₀ = C₅×C₄.Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₃⋊C₈	120	2	C3:C8:5C10	240,55
C₃⋊C₈⋊₆C₁₀ = S₃×C₄₀	φ: trivial image	120	2	C3:C8:6C10	240,49

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₈.C₁₀ = C₅×C₃⋊Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₃⋊C₈	240	4	C3:C8.C10	240,63

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