Extensions 1→N→G→Q→1 with N=C₄ and Q=Dic₆

Direct product G=NxQ with N=C₄ and Q=Dic₆

		d	ρ	Label	ID
C₄xDic₆		96		C4xDic6	96,75

Semidirect products G=N:Q with N=C₄ and Q=Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:₁Dic₆ = C₁₂:Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₄	96		C4:1Dic6	96,95
C₄:₂Dic₆ = C₁₂:₂Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₄	96		C4:2Dic6	96,76

Non-split extensions G=N.Q with N=C₄ and Q=Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁Dic₆ = C₆.Q₁₆	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₄	96		C4.1Dic6	96,14
C₄.₂Dic₆ = C₁₂.Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₄	96		C4.2Dic6	96,15
C₄.₃Dic₆ = C₄.Dic₆	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₄	96		C4.3Dic6	96,97
C₄.₄Dic₆ = C₈:Dic₃	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₄	96		C4.4Dic6	96,24
C₄.₅Dic₆ = C₂₄:₁C₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₄	96		C4.5Dic6	96,25
C₄.₆Dic₆ = C₁₂.₆Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₄	96		C4.6Dic6	96,77
C₄.₇Dic₆ = C₁₂:C₈	central extension (φ=1)	96		C4.7Dic6	96,11
C₄.₈Dic₆ = Dic₃:C₈	central extension (φ=1)	96		C4.8Dic6	96,21

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