Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₃×SD₁₆

Direct product G=N×Q with N=C₁₀ and Q=C₃×SD₁₆

		d	ρ	Label	ID
SD₁₆×C₃₀		240		SD16xC30	480,938

Semidirect products G=N:Q with N=C₁₀ and Q=C₃×SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊₁(C₃×SD₁₆) = C₆×C₄₀⋊C₂	φ: C₃×SD₁₆/C₂₄ → C₂ ⊆ Aut C₁₀	240		C10:1(C3xSD16)	480,695
C₁₀⋊₂(C₃×SD₁₆) = C₆×D₄.D₅	φ: C₃×SD₁₆/C₃×D₄ → C₂ ⊆ Aut C₁₀	240		C10:2(C3xSD16)	480,726
C₁₀⋊₃(C₃×SD₁₆) = C₆×Q₈⋊D₅	φ: C₃×SD₁₆/C₃×Q₈ → C₂ ⊆ Aut C₁₀	240		C10:3(C3xSD16)	480,734

Non-split extensions G=N.Q with N=C₁₀ and Q=C₃×SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁(C₃×SD₁₆) = C₃×C₂₀.₄₄D₄	φ: C₃×SD₁₆/C₂₄ → C₂ ⊆ Aut C₁₀	480		C10.1(C3xSD16)	480,94
C₁₀.₂(C₃×SD₁₆) = C₃×C₄₀⋊₆C₄	φ: C₃×SD₁₆/C₂₄ → C₂ ⊆ Aut C₁₀	480		C10.2(C3xSD16)	480,95
C₁₀.₃(C₃×SD₁₆) = C₃×D₂₀⋊₅C₄	φ: C₃×SD₁₆/C₂₄ → C₂ ⊆ Aut C₁₀	240		C10.3(C3xSD16)	480,99
C₁₀.₄(C₃×SD₁₆) = C₃×C₁₀.Q₁₆	φ: C₃×SD₁₆/C₃×D₄ → C₂ ⊆ Aut C₁₀	480		C10.4(C3xSD16)	480,88
C₁₀.₅(C₃×SD₁₆) = C₃×D₄⋊Dic₅	φ: C₃×SD₁₆/C₃×D₄ → C₂ ⊆ Aut C₁₀	240		C10.5(C3xSD16)	480,110
C₁₀.₆(C₃×SD₁₆) = C₃×C₂₀.Q₈	φ: C₃×SD₁₆/C₃×Q₈ → C₂ ⊆ Aut C₁₀	480		C10.6(C3xSD16)	480,86
C₁₀.₇(C₃×SD₁₆) = C₃×D₂₀⋊₆C₄	φ: C₃×SD₁₆/C₃×Q₈ → C₂ ⊆ Aut C₁₀	240		C10.7(C3xSD16)	480,87
C₁₀.₈(C₃×SD₁₆) = C₃×Q₈⋊Dic₅	φ: C₃×SD₁₆/C₃×Q₈ → C₂ ⊆ Aut C₁₀	480		C10.8(C3xSD16)	480,113
C₁₀.₉(C₃×SD₁₆) = C₁₅×D₄⋊C₄	central extension (φ=1)	240		C10.9(C3xSD16)	480,205
C₁₀.₁₀(C₃×SD₁₆) = C₁₅×Q₈⋊C₄	central extension (φ=1)	480		C10.10(C3xSD16)	480,206
C₁₀.₁₁(C₃×SD₁₆) = C₁₅×C₄.Q₈	central extension (φ=1)	480		C10.11(C3xSD16)	480,209

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