Extensions 1→N→G→Q→1 with N=C₄ and Q=Dic₁₂

Direct product G=N×Q with N=C₄ and Q=Dic₁₂

		d	ρ	Label	ID
C₄×Dic₁₂		192		C4xDic12	192,257

Semidirect products G=N:Q with N=C₄ and Q=Dic₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁Dic₁₂ = C₁₂⋊₄Q₁₆	φ: Dic₁₂/C₂₄ → C₂ ⊆ Aut C₄	192		C4:1Dic12	192,258
C₄⋊₂Dic₁₂ = C₄⋊Dic₁₂	φ: Dic₁₂/Dic₆ → C₂ ⊆ Aut C₄	192		C4:2Dic12	192,408

Non-split extensions G=N.Q with N=C₄ and Q=Dic₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁Dic₁₂ = C₄₈⋊₅C₄	φ: Dic₁₂/C₂₄ → C₂ ⊆ Aut C₄	192		C4.1Dic12	192,63
C₄.₂Dic₁₂ = C₄₈⋊₆C₄	φ: Dic₁₂/C₂₄ → C₂ ⊆ Aut C₄	192		C4.2Dic12	192,64
C₄.₃Dic₁₂ = C₁₂.₁₄Q₁₆	φ: Dic₁₂/C₂₄ → C₂ ⊆ Aut C₄	192		C4.3Dic12	192,240
C₄.₄Dic₁₂ = C₂₄⋊₈Q₈	φ: Dic₁₂/C₂₄ → C₂ ⊆ Aut C₄	192		C4.4Dic12	192,241
C₄.₅Dic₁₂ = C₄.Dic₁₂	φ: Dic₁₂/Dic₆ → C₂ ⊆ Aut C₄	192		C4.5Dic12	192,40
C₄.₆Dic₁₂ = C₁₂.₄₇D₈	φ: Dic₁₂/Dic₆ → C₂ ⊆ Aut C₄	192		C4.6Dic12	192,41
C₄.₇Dic₁₂ = Dic₆⋊₃Q₈	φ: Dic₁₂/Dic₆ → C₂ ⊆ Aut C₄	192		C4.7Dic12	192,409
C₄.₈Dic₁₂ = C₄.₈Dic₁₂	central extension (φ=1)	192		C4.8Dic12	192,15
C₄.₉Dic₁₂ = C₂₄⋊₁C₈	central extension (φ=1)	192		C4.9Dic12	192,17

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