Extensions 1→N→G→Q→1 with N=C₆ and Q=Dic₁₀

Direct product G=N×Q with N=C₆ and Q=Dic₁₀

		d	ρ	Label	ID
C₆×Dic₁₀		240		C6xDic10	240,155

Semidirect products G=N:Q with N=C₆ and Q=Dic₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁Dic₁₀ = C₂×C₁₅⋊Q₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₆	240		C6:1Dic10	240,148
C₆⋊₂Dic₁₀ = C₂×Dic₃₀	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₆	240		C6:2Dic10	240,175

Non-split extensions G=N.Q with N=C₆ and Q=Dic₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁Dic₁₀ = C₃₀.Q₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₆	240		C6.1Dic10	240,29
C₆.₂Dic₁₀ = Dic₁₅⋊₅C₄	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₆	240		C6.2Dic10	240,30
C₆.₃Dic₁₀ = C₆.Dic₁₀	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₆	240		C6.3Dic10	240,31
C₆.₄Dic₁₀ = C₃₀.₄Q₈	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₆	240		C6.4Dic10	240,73
C₆.₅Dic₁₀ = C₆₀⋊₅C₄	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₆	240		C6.5Dic10	240,74
C₆.₆Dic₁₀ = C₃×C₁₀.D₄	central extension (φ=1)	240		C6.6Dic10	240,41
C₆.₇Dic₁₀ = C₃×C₄⋊Dic₅	central extension (φ=1)	240		C6.7Dic10	240,42

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