Extensions 1→N→G→Q→1 with N=C₆ and Q=Dic₁₄

Direct product G=N×Q with N=C₆ and Q=Dic₁₄

		d	ρ	Label	ID
C₆×Dic₁₄		336		C6xDic14	336,174

Semidirect products G=N:Q with N=C₆ and Q=Dic₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁Dic₁₄ = C₂×C₂₁⋊Q₈	φ: Dic₁₄/Dic₇ → C₂ ⊆ Aut C₆	336		C6:1Dic14	336,160
C₆⋊₂Dic₁₄ = C₂×Dic₄₂	φ: Dic₁₄/C₂₈ → C₂ ⊆ Aut C₆	336		C6:2Dic14	336,194

Non-split extensions G=N.Q with N=C₆ and Q=Dic₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁Dic₁₄ = C₄₂.Q₈	φ: Dic₁₄/Dic₇ → C₂ ⊆ Aut C₆	336		C6.1Dic14	336,45
C₆.₂Dic₁₄ = Dic₂₁⋊C₄	φ: Dic₁₄/Dic₇ → C₂ ⊆ Aut C₆	336		C6.2Dic14	336,46
C₆.₃Dic₁₄ = C₁₄.Dic₆	φ: Dic₁₄/Dic₇ → C₂ ⊆ Aut C₆	336		C6.3Dic14	336,47
C₆.₄Dic₁₄ = C₄₂.₄Q₈	φ: Dic₁₄/C₂₈ → C₂ ⊆ Aut C₆	336		C6.4Dic14	336,98
C₆.₅Dic₁₄ = C₈₄⋊C₄	φ: Dic₁₄/C₂₈ → C₂ ⊆ Aut C₆	336		C6.5Dic14	336,99
C₆.₆Dic₁₄ = C₃×Dic₇⋊C₄	central extension (φ=1)	336		C6.6Dic14	336,66
C₆.₇Dic₁₄ = C₃×C₄⋊Dic₇	central extension (φ=1)	336		C6.7Dic14	336,67

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