Extensions 1→N→G→Q→1 with N=Dic₆ and Q=C₁₄

Direct product G=N×Q with N=Dic₆ and Q=C₁₄

		d	ρ	Label	ID
C₁₄×Dic₆		336		C14xDic6	336,184

Semidirect products G=N:Q with N=Dic₆ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆⋊₁C₁₄ = C₇×C₂₄⋊C₂	φ: C₁₄/C₇ → C₂ ⊆ Out Dic₆	168	2	Dic6:1C14	336,76
Dic₆⋊₂C₁₄ = C₇×D₄.S₃	φ: C₁₄/C₇ → C₂ ⊆ Out Dic₆	168	4	Dic6:2C14	336,86
Dic₆⋊₃C₁₄ = C₇×D₄⋊₂S₃	φ: C₁₄/C₇ → C₂ ⊆ Out Dic₆	168	4	Dic6:3C14	336,189
Dic₆⋊₄C₁₄ = S₃×C₇×Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out Dic₆	168	4	Dic6:4C14	336,190
Dic₆⋊₅C₁₄ = C₇×C₄○D₁₂	φ: trivial image	168	2	Dic6:5C14	336,187

Non-split extensions G=N.Q with N=Dic₆ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆.₁C₁₄ = C₇×Dic₁₂	φ: C₁₄/C₇ → C₂ ⊆ Out Dic₆	336	2	Dic6.1C14	336,78
Dic₆.₂C₁₄ = C₇×C₃⋊Q₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out Dic₆	336	4	Dic6.2C14	336,88

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