Extensions 1→N→G→Q→1 with N=D₄ and Q=C₁₄

Direct product G=N×Q with N=D₄ and Q=C₁₄

		d	ρ	Label	ID
D₄×C₁₄		56		D4xC14	112,38

Semidirect products G=N:Q with N=D₄ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊C₁₄ = C₇×D₈	φ: C₁₄/C₇ → C₂ ⊆ Out D₄	56	2	D4:C14	112,24
D₄⋊₂C₁₄ = C₇×C₄○D₄	φ: trivial image	56	2	D4:2C14	112,40

Non-split extensions G=N.Q with N=D₄ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.C₁₄ = C₇×SD₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out D₄	56	2	D4.C14	112,25

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Extensions 1→N→G→Q→1 with N=D4 and Q=C14