Extensions 1→N→G→Q→1 with N=C₁₀ and Q=Dic₆

Direct product G=N×Q with N=C₁₀ and Q=Dic₆

		d	ρ	Label	ID
C₁₀×Dic₆		240		C10xDic6	240,165

Semidirect products G=N:Q with N=C₁₀ and Q=Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊₁Dic₆ = C₂×C₁₅⋊Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₁₀	240		C10:1Dic6	240,148
C₁₀⋊₂Dic₆ = C₂×Dic₃₀	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₀	240		C10:2Dic6	240,175

Non-split extensions G=N.Q with N=C₁₀ and Q=Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁Dic₆ = C₃₀.Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₁₀	240		C10.1Dic6	240,29
C₁₀.₂Dic₆ = Dic₁₅⋊₅C₄	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₁₀	240		C10.2Dic6	240,30
C₁₀.₃Dic₆ = C₆.Dic₁₀	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₁₀	240		C10.3Dic6	240,31
C₁₀.₄Dic₆ = C₃₀.₄Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₀	240		C10.4Dic6	240,73
C₁₀.₅Dic₆ = C₆₀⋊₅C₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₁₀	240		C10.5Dic6	240,74
C₁₀.₆Dic₆ = C₅×Dic₃⋊C₄	central extension (φ=1)	240		C10.6Dic6	240,57
C₁₀.₇Dic₆ = C₅×C₄⋊Dic₃	central extension (φ=1)	240		C10.7Dic6	240,58

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