Extensions 1→N→G→Q→1 with N=C₄○D₈ and Q=C₁₄

Direct product G=N×Q with N=C₄○D₈ and Q=C₁₄

		d	ρ	Label	ID
C₁₄×C₄○D₈		224		C14xC4oD8	448,1355

Semidirect products G=N:Q with N=C₄○D₈ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₈⋊₁C₁₄ = C₇×C₄○D₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out C₄○D₈	224	2	C4oD8:1C14	448,916
C₄○D₈⋊₂C₁₄ = C₇×C₁₆⋊C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₄○D₈	112	4	C4oD8:2C14	448,917
C₄○D₈⋊₃C₁₄ = C₇×D₈⋊C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₄○D₈	112	4	C4oD8:3C14	448,1358
C₄○D₈⋊₄C₁₄ = C₇×D₄○D₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄○D₈	112	4	C4oD8:4C14	448,1359
C₄○D₈⋊₅C₁₄ = C₇×D₄○SD₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out C₄○D₈	112	4	C4oD8:5C14	448,1360
C₄○D₈⋊₆C₁₄ = C₇×Q₈○D₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₄○D₈	224	4	C4oD8:6C14	448,1361

Non-split extensions G=N.Q with N=C₄○D₈ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₈.₁C₁₄ = C₇×D₈.C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄○D₈	224	2	C4oD8.1C14	448,163
C₄○D₈.₂C₁₄ = C₇×D₈⋊₂C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄○D₈	112	4	C4oD8.2C14	448,164
C₄○D₈.₃C₁₄ = C₇×C₈.₂₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₄○D₈	112	4	C4oD8.3C14	448,852
C₄○D₈.₄C₁₄ = C₇×Q₃₂⋊C₂	φ: C₁₄/C₇ → C₂ ⊆ Out C₄○D₈	224	4	C4oD8.4C14	448,918
C₄○D₈.₅C₁₄ = C₇×C₈○D₈	φ: trivial image	112	2	C4oD8.5C14	448,851

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