Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₃×Q₁₆

Direct product G=N×Q with N=C₁₀ and Q=C₃×Q₁₆

		d	ρ	Label	ID
Q₁₆×C₃₀		480		Q16xC30	480,939

Semidirect products G=N:Q with N=C₁₀ and Q=C₃×Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊₁(C₃×Q₁₆) = C₆×Dic₂₀	φ: C₃×Q₁₆/C₂₄ → C₂ ⊆ Aut C₁₀	480		C10:1(C3xQ16)	480,698
C₁₀⋊₂(C₃×Q₁₆) = C₆×C₅⋊Q₁₆	φ: C₃×Q₁₆/C₃×Q₈ → C₂ ⊆ Aut C₁₀	480		C10:2(C3xQ16)	480,736

Non-split extensions G=N.Q with N=C₁₀ and Q=C₃×Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁(C₃×Q₁₆) = C₃×C₂₀.₄₄D₄	φ: C₃×Q₁₆/C₂₄ → C₂ ⊆ Aut C₁₀	480		C10.1(C3xQ16)	480,94
C₁₀.₂(C₃×Q₁₆) = C₃×C₄₀⋊₅C₄	φ: C₃×Q₁₆/C₂₄ → C₂ ⊆ Aut C₁₀	480		C10.2(C3xQ16)	480,96
C₁₀.₃(C₃×Q₁₆) = C₃×C₁₀.D₈	φ: C₃×Q₁₆/C₃×Q₈ → C₂ ⊆ Aut C₁₀	480		C10.3(C3xQ16)	480,85
C₁₀.₄(C₃×Q₁₆) = C₃×C₁₀.Q₁₆	φ: C₃×Q₁₆/C₃×Q₈ → C₂ ⊆ Aut C₁₀	480		C10.4(C3xQ16)	480,88
C₁₀.₅(C₃×Q₁₆) = C₃×Q₈⋊Dic₅	φ: C₃×Q₁₆/C₃×Q₈ → C₂ ⊆ Aut C₁₀	480		C10.5(C3xQ16)	480,113
C₁₀.₆(C₃×Q₁₆) = C₁₅×Q₈⋊C₄	central extension (φ=1)	480		C10.6(C3xQ16)	480,206
C₁₀.₇(C₃×Q₁₆) = C₁₅×C₂.D₈	central extension (φ=1)	480		C10.7(C3xQ16)	480,210

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