Extensions 1→N→G→Q→1 with N=C₁₂ and Q=Dic₇

Direct product G=N×Q with N=C₁₂ and Q=Dic₇

		d	ρ	Label	ID
C₁₂×Dic₇		336		C12xDic7	336,65

Semidirect products G=N:Q with N=C₁₂ and Q=Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁Dic₇ = C₈₄⋊C₄	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₁₂	336		C12:1Dic7	336,99
C₁₂⋊₂Dic₇ = C₄×Dic₂₁	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₁₂	336		C12:2Dic7	336,97
C₁₂⋊₃Dic₇ = C₃×C₄⋊Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₁₂	336		C12:3Dic7	336,67

Non-split extensions G=N.Q with N=C₁₂ and Q=Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁Dic₇ = C₈₄.C₄	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₁₂	168	2	C12.1Dic7	336,96
C₁₂.₂Dic₇ = C₂₁⋊C₁₆	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₁₂	336	2	C12.2Dic7	336,5
C₁₂.₃Dic₇ = C₂×C₂₁⋊C₈	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₁₂	336		C12.3Dic7	336,95
C₁₂.₄Dic₇ = C₃×C₄.Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₁₂	168	2	C12.4Dic7	336,64
C₁₂.₅Dic₇ = C₃×C₇⋊C₁₆	central extension (φ=1)	336	2	C12.5Dic7	336,4
C₁₂.₆Dic₇ = C₆×C₇⋊C₈	central extension (φ=1)	336		C12.6Dic7	336,63

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