Extensions 1→N→G→Q→1 with N=D₁₄ and Q=C₄

Direct product G=N×Q with N=D₁₄ and Q=C₄

		d	ρ	Label	ID
C₂×C₄×D₇		56		C2xC4xD7	112,28

Semidirect products G=N:Q with N=D₁₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄⋊C₄ = D₁₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₁₄	56		D14:C4	112,13

Non-split extensions G=N.Q with N=D₁₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄.C₄ = C₈⋊D₇	φ: C₄/C₂ → C₂ ⊆ Out D₁₄	56	2	D14.C4	112,4
D₁₄.₂C₄ = C₈×D₇	φ: trivial image	56	2	D14.2C4	112,3

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Extensions 1→N→G→Q→1 with N=D14 and Q=C4