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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊(C₃⋊C₈) = C₂×C₁₅⋊C₈	φ: C₃⋊C₈/C₆ → C₄ ⊆ Aut C₁₀	240		C10:(C3:C8)	240,122
C₁₀⋊₂(C₃⋊C₈) = C₂×C₁₅⋊₃C₈	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₁₀	240		C10:2(C3:C8)	240,70

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.(C₃⋊C₈) = C₁₅⋊C₁₆	φ: C₃⋊C₈/C₆ → C₄ ⊆ Aut C₁₀	240	4	C10.(C3:C8)	240,6
C₁₀.₂(C₃⋊C₈) = C₁₅⋊₃C₁₆	φ: C₃⋊C₈/C₁₂ → C₂ ⊆ Aut C₁₀	240	2	C10.2(C3:C8)	240,3
C₁₀.₃(C₃⋊C₈) = C₅×C₃⋊C₁₆	central extension (φ=1)	240	2	C10.3(C3:C8)	240,1

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