Extensions 1→N→G→Q→1 with N=C₆ and Q=Dic₁₂

Direct product G=N×Q with N=C₆ and Q=Dic₁₂

		d	ρ	Label	ID
C₆×Dic₁₂		96		C6xDic12	288,676

Semidirect products G=N:Q with N=C₆ and Q=Dic₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁Dic₁₂ = C₂×C₃²⋊₅Q₁₆	φ: Dic₁₂/C₂₄ → C₂ ⊆ Aut C₆	288		C6:1Dic12	288,762
C₆⋊₂Dic₁₂ = C₂×C₃²⋊₃Q₁₆	φ: Dic₁₂/Dic₆ → C₂ ⊆ Aut C₆	96		C6:2Dic12	288,483

Non-split extensions G=N.Q with N=C₆ and Q=Dic₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁Dic₁₂ = C₃₆.₄₅D₄	φ: Dic₁₂/C₂₄ → C₂ ⊆ Aut C₆	288		C6.1Dic12	288,24
C₆.₂Dic₁₂ = C₇₂⋊₁C₄	φ: Dic₁₂/C₂₄ → C₂ ⊆ Aut C₆	288		C6.2Dic12	288,26
C₆.₃Dic₁₂ = C₂×Dic₃₆	φ: Dic₁₂/C₂₄ → C₂ ⊆ Aut C₆	288		C6.3Dic12	288,109
C₆.₄Dic₁₂ = C₆.₄Dic₁₂	φ: Dic₁₂/C₂₄ → C₂ ⊆ Aut C₆	288		C6.4Dic12	288,291
C₆.₅Dic₁₂ = C₂₄⋊₁Dic₃	φ: Dic₁₂/C₂₄ → C₂ ⊆ Aut C₆	288		C6.5Dic12	288,293
C₆.₆Dic₁₂ = C₆.Dic₁₂	φ: Dic₁₂/Dic₆ → C₂ ⊆ Aut C₆	96		C6.6Dic12	288,214
C₆.₇Dic₁₂ = C₁₂.₇₃D₁₂	φ: Dic₁₂/Dic₆ → C₂ ⊆ Aut C₆	96		C6.7Dic12	288,215
C₆.₈Dic₁₂ = C₆.₁₈D₂₄	φ: Dic₁₂/Dic₆ → C₂ ⊆ Aut C₆	96		C6.8Dic12	288,223
C₆.₉Dic₁₂ = C₃×C₂.Dic₁₂	central extension (φ=1)	96		C6.9Dic12	288,250
C₆.₁₀Dic₁₂ = C₃×C₂₄⋊₁C₄	central extension (φ=1)	96		C6.10Dic12	288,252

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