Extensions 1→N→G→Q→1 with N=C₁₀ and Q=Dic₁₂

Direct product G=N×Q with N=C₁₀ and Q=Dic₁₂

		d	ρ	Label	ID
C₁₀×Dic₁₂		480		C10xDic12	480,784

Semidirect products G=N:Q with N=C₁₀ and Q=Dic₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊₁Dic₁₂ = C₂×Dic₆₀	φ: Dic₁₂/C₂₄ → C₂ ⊆ Aut C₁₀	480		C10:1Dic12	480,870
C₁₀⋊₂Dic₁₂ = C₂×C₅⋊Dic₁₂	φ: Dic₁₂/Dic₆ → C₂ ⊆ Aut C₁₀	480		C10:2Dic12	480,396

Non-split extensions G=N.Q with N=C₁₀ and Q=Dic₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁Dic₁₂ = Dic₃₀⋊₈C₄	φ: Dic₁₂/C₂₄ → C₂ ⊆ Aut C₁₀	480		C10.1Dic12	480,176
C₁₀.₂Dic₁₂ = C₁₂₀⋊₉C₄	φ: Dic₁₂/C₂₄ → C₂ ⊆ Aut C₁₀	480		C10.2Dic12	480,178
C₁₀.₃Dic₁₂ = C₁₀.Dic₁₂	φ: Dic₁₂/Dic₆ → C₂ ⊆ Aut C₁₀	480		C10.3Dic12	480,49
C₁₀.₄Dic₁₂ = Dic₃₀⋊₁₅C₄	φ: Dic₁₂/Dic₆ → C₂ ⊆ Aut C₁₀	480		C10.4Dic12	480,51
C₁₀.₅Dic₁₂ = C₆₀.₈Q₈	φ: Dic₁₂/Dic₆ → C₂ ⊆ Aut C₁₀	480		C10.5Dic12	480,64
C₁₀.₆Dic₁₂ = C₅×C₂.Dic₁₂	central extension (φ=1)	480		C10.6Dic12	480,135
C₁₀.₇Dic₁₂ = C₅×C₂₄⋊₁C₄	central extension (φ=1)	480		C10.7Dic12	480,137

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