Extensions 1→N→G→Q→1 with N=C₁₄ and Q=Q₈

Direct product G=N×Q with N=C₁₄ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₁₄		112		Q8xC14	112,39

Semidirect products G=N:Q with N=C₁₄ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊Q₈ = C₂×Dic₁₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₁₄	112		C14:Q8	112,27

Non-split extensions G=N.Q with N=C₁₄ and Q=Q₈

extension	φ:Q→Aut N	d	Label	ID
C₁₄.₁Q₈ = Dic₇⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₁₄	112	C14.1Q8	112,11
C₁₄.₂Q₈ = C₄⋊Dic₇	φ: Q₈/C₄ → C₂ ⊆ Aut C₁₄	112	C14.2Q8	112,12
C₁₄.₃Q₈ = C₇×C₄⋊C₄	central extension (φ=1)	112	C14.3Q8	112,21

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Extensions 1→N→G→Q→1 with N=C14 and Q=Q8