Extensions 1→N→G→Q→1 with N=Dic₁₄ and Q=C₄

Direct product G=N×Q with N=Dic₁₄ and Q=C₄

		d	ρ	Label	ID
C₄×Dic₁₄		224		C4xDic14	224,63

Semidirect products G=N:Q with N=Dic₁₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₄⋊₁C₄ = Dic₁₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₄	56	2	Dic14:1C4	224,11
Dic₁₄⋊₂C₄ = C₂₈.₄₄D₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₄	224		Dic14:2C4	224,22
Dic₁₄⋊₃C₄ = C₁₄.Q₁₆	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₄	224		Dic14:3C4	224,16
Dic₁₄⋊₄C₄ = D₂₈⋊₄C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₄	56	4	Dic14:4C4	224,31
Dic₁₄⋊₅C₄ = Dic₇⋊₃Q₈	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₄	224		Dic14:5C4	224,82

Non-split extensions G=N.Q with N=Dic₁₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₄.C₄ = D₂₈.C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₄	112	4	Dic14.C4	224,102
Dic₁₄.₂C₄ = D₂₈.₂C₄	φ: trivial image	112	2	Dic14.2C4	224,96

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