Extensions 1→N→G→Q→1 with N=C₁₀ and Q=Q₈⋊₂S₃

Direct product G=N×Q with N=C₁₀ and Q=Q₈⋊₂S₃

		d	ρ	Label	ID
C₁₀×Q₈⋊₂S₃		240		C10xQ8:2S3	480,820

Semidirect products G=N:Q with N=C₁₀ and Q=Q₈⋊₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊₁(Q₈⋊₂S₃) = C₂×C₁₅⋊SD₁₆	φ: Q₈⋊₂S₃/C₃⋊C₈ → C₂ ⊆ Aut C₁₀	240		C10:1(Q8:2S3)	480,390
C₁₀⋊₂(Q₈⋊₂S₃) = C₂×C₂₀.D₆	φ: Q₈⋊₂S₃/D₁₂ → C₂ ⊆ Aut C₁₀	240		C10:2(Q8:2S3)	480,384
C₁₀⋊₃(Q₈⋊₂S₃) = C₂×Q₈⋊₂D₁₅	φ: Q₈⋊₂S₃/C₃×Q₈ → C₂ ⊆ Aut C₁₀	240		C10:3(Q8:2S3)	480,906

Non-split extensions G=N.Q with N=C₁₀ and Q=Q₈⋊₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁(Q₈⋊₂S₃) = D₆₀⋊₁₂C₄	φ: Q₈⋊₂S₃/C₃⋊C₈ → C₂ ⊆ Aut C₁₀	240		C10.1(Q8:2S3)	480,44
C₁₀.₂(Q₈⋊₂S₃) = C₆.Dic₂₀	φ: Q₈⋊₂S₃/C₃⋊C₈ → C₂ ⊆ Aut C₁₀	480		C10.2(Q8:2S3)	480,47
C₁₀.₃(Q₈⋊₂S₃) = C₆₀.Q₈	φ: Q₈⋊₂S₃/C₃⋊C₈ → C₂ ⊆ Aut C₁₀	480		C10.3(Q8:2S3)	480,63
C₁₀.₄(Q₈⋊₂S₃) = D₁₂⋊Dic₅	φ: Q₈⋊₂S₃/D₁₂ → C₂ ⊆ Aut C₁₀	240		C10.4(Q8:2S3)	480,42
C₁₀.₅(Q₈⋊₂S₃) = C₃₀.Q₁₆	φ: Q₈⋊₂S₃/D₁₂ → C₂ ⊆ Aut C₁₀	480		C10.5(Q8:2S3)	480,46
C₁₀.₆(Q₈⋊₂S₃) = C₃₀.SD₁₆	φ: Q₈⋊₂S₃/D₁₂ → C₂ ⊆ Aut C₁₀	480		C10.6(Q8:2S3)	480,62
C₁₀.₇(Q₈⋊₂S₃) = C₆₀.₂Q₈	φ: Q₈⋊₂S₃/C₃×Q₈ → C₂ ⊆ Aut C₁₀	480		C10.7(Q8:2S3)	480,168
C₁₀.₈(Q₈⋊₂S₃) = D₆₀⋊₉C₄	φ: Q₈⋊₂S₃/C₃×Q₈ → C₂ ⊆ Aut C₁₀	240		C10.8(Q8:2S3)	480,169
C₁₀.₉(Q₈⋊₂S₃) = Q₈⋊₂Dic₁₅	φ: Q₈⋊₂S₃/C₃×Q₈ → C₂ ⊆ Aut C₁₀	480		C10.9(Q8:2S3)	480,195
C₁₀.₁₀(Q₈⋊₂S₃) = C₅×C₁₂.Q₈	central extension (φ=1)	480		C10.10(Q8:2S3)	480,127
C₁₀.₁₁(Q₈⋊₂S₃) = C₅×C₆.D₈	central extension (φ=1)	240		C10.11(Q8:2S3)	480,128
C₁₀.₁₂(Q₈⋊₂S₃) = C₅×Q₈⋊₂Dic₃	central extension (φ=1)	480		C10.12(Q8:2S3)	480,154

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