Extensions 1→N→G→Q→1 with N=Dic₁₄ and Q=C₂

Direct product G=N×Q with N=Dic₁₄ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₁₄		112		C2xDic14	112,27

Semidirect products G=N:Q with N=Dic₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₄⋊₁C₂ = C₅₆⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₄	56	2	Dic14:1C2	112,5
Dic₁₄⋊₂C₂ = D₄.D₇	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₄	56	4-	Dic14:2C2	112,15
Dic₁₄⋊₃C₂ = D₄⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₄	56	4-	Dic14:3C2	112,32
Dic₁₄⋊₄C₂ = Q₈×D₇	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₄	56	4-	Dic14:4C2	112,33
Dic₁₄⋊₅C₂ = C₄○D₂₈	φ: trivial image	56	2	Dic14:5C2	112,30

Non-split extensions G=N.Q with N=Dic₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₄.₁C₂ = Dic₂₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₄	112	2-	Dic14.1C2	112,7
Dic₁₄.₂C₂ = C₇⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₁₄	112	4-	Dic14.2C2	112,17

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