Extensions 1→N→G→Q→1 with N=C₆ and Q=Dic₂₀

Direct product G=N×Q with N=C₆ and Q=Dic₂₀

		d	ρ	Label	ID
C₆×Dic₂₀		480		C6xDic20	480,698

Semidirect products G=N:Q with N=C₆ and Q=Dic₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁Dic₂₀ = C₂×Dic₆₀	φ: Dic₂₀/C₄₀ → C₂ ⊆ Aut C₆	480		C6:1Dic20	480,870
C₆⋊₂Dic₂₀ = C₂×C₃⋊Dic₂₀	φ: Dic₂₀/Dic₁₀ → C₂ ⊆ Aut C₆	480		C6:2Dic20	480,395

Non-split extensions G=N.Q with N=C₆ and Q=Dic₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁Dic₂₀ = Dic₃₀⋊₈C₄	φ: Dic₂₀/C₄₀ → C₂ ⊆ Aut C₆	480		C6.1Dic20	480,176
C₆.₂Dic₂₀ = C₁₂₀⋊₉C₄	φ: Dic₂₀/C₄₀ → C₂ ⊆ Aut C₆	480		C6.2Dic20	480,178
C₆.₃Dic₂₀ = C₆.Dic₂₀	φ: Dic₂₀/Dic₁₀ → C₂ ⊆ Aut C₆	480		C6.3Dic20	480,47
C₆.₄Dic₂₀ = Dic₃₀⋊₁₂C₄	φ: Dic₂₀/Dic₁₀ → C₂ ⊆ Aut C₆	480		C6.4Dic20	480,50
C₆.₅Dic₂₀ = C₆₀.₅Q₈	φ: Dic₂₀/Dic₁₀ → C₂ ⊆ Aut C₆	480		C6.5Dic20	480,66
C₆.₆Dic₂₀ = C₃×C₂₀.₄₄D₄	central extension (φ=1)	480		C6.6Dic20	480,94
C₆.₇Dic₂₀ = C₃×C₄₀⋊₅C₄	central extension (φ=1)	480		C6.7Dic20	480,96

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