Extensions 1→N→G→Q→1 with N=C₈○D₄ and Q=C₁₄

Direct product G=N×Q with N=C₈○D₄ and Q=C₁₄

		d	ρ	Label	ID
C₁₄×C₈○D₄		224		C14xC8oD4	448,1350

Semidirect products G=N:Q with N=C₈○D₄ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₈○D₄⋊₁C₁₄ = C₇×D₄.₃D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈○D₄	112	4	C8oD4:1C14	448,879
C₈○D₄⋊₂C₁₄ = C₇×D₄.₄D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈○D₄	112	4	C8oD4:2C14	448,880
C₈○D₄⋊₃C₁₄ = C₇×D₄○D₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₈○D₄	112	4	C8oD4:3C14	448,1359
C₈○D₄⋊₄C₁₄ = C₇×D₄○SD₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out C₈○D₄	112	4	C8oD4:4C14	448,1360
C₈○D₄⋊₅C₁₄ = C₇×Q₈○D₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₈○D₄	224	4	C8oD4:5C14	448,1361
C₈○D₄⋊₆C₁₄ = C₇×C₈○D₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₈○D₄	112	2	C8oD4:6C14	448,851
C₈○D₄⋊₇C₁₄ = C₇×C₈.₂₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈○D₄	112	4	C8oD4:7C14	448,852
C₈○D₄⋊₈C₁₄ = C₇×Q₈○M₄(2)	φ: C₁₄/C₇ → C₂ ⊆ Out C₈○D₄	112	4	C8oD4:8C14	448,1351

Non-split extensions G=N.Q with N=C₈○D₄ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₈○D₄.₁C₁₄ = C₇×D₄.₅D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₈○D₄	224	4	C8oD4.1C14	448,881
C₈○D₄.₂C₁₄ = C₇×D₄.C₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₈○D₄	224	2	C8oD4.2C14	448,154
C₈○D₄.₃C₁₄ = C₇×D₄○C₁₆	φ: trivial image	224	2	C8oD4.3C14	448,912

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