Extensions 1→N→G→Q→1 with N=Q₈⋊C₄ and Q=C₁₄

Direct product G=N×Q with N=Q₈⋊C₄ and Q=C₁₄

		d	ρ	Label	ID
C₁₄×Q₈⋊C₄		448		C14xQ8:C4	448,823

Semidirect products G=N:Q with N=Q₈⋊C₄ and Q=C₁₄

extension	φ:Q→Out N	d	Label	ID
Q₈⋊C₄⋊₁C₁₄ = C₇×C₈⋊₈D₄	φ: C₁₄/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:1C14	448,873
Q₈⋊C₄⋊₂C₁₄ = C₇×C₈.₁₈D₄	φ: C₁₄/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:2C14	448,875
Q₈⋊C₄⋊₃C₁₄ = C₇×C₄².₇₈C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:3C14	448,896
Q₈⋊C₄⋊₄C₁₄ = C₇×D₄⋊D₄	φ: C₁₄/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:4C14	448,857
Q₈⋊C₄⋊₅C₁₄ = C₇×C₂²⋊Q₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:5C14	448,859
Q₈⋊C₄⋊₆C₁₄ = C₇×D₄.₂D₄	φ: C₁₄/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:6C14	448,871
Q₈⋊C₄⋊₇C₁₄ = C₇×C₂³.₄₈D₄	φ: C₁₄/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:7C14	448,892
Q₈⋊C₄⋊₈C₁₄ = C₇×C₂³.₂₀D₄	φ: C₁₄/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:8C14	448,893
Q₈⋊C₄⋊₉C₁₄ = C₇×Q₈⋊D₄	φ: C₁₄/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:9C14	448,856
Q₈⋊C₄⋊₁₀C₁₄ = C₇×D₄.₇D₄	φ: C₁₄/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:10C14	448,860
Q₈⋊C₄⋊₁₁C₁₄ = C₇×D₄.D₄	φ: C₁₄/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:11C14	448,869
Q₈⋊C₄⋊₁₂C₁₄ = C₇×Q₈.D₄	φ: C₁₄/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:12C14	448,872
Q₈⋊C₄⋊₁₃C₁₄ = C₇×C₂³.₄₇D₄	φ: C₁₄/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:13C14	448,891
Q₈⋊C₄⋊₁₄C₁₄ = C₇×C₂³.₃₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:14C14	448,825
Q₈⋊C₄⋊₁₅C₁₄ = C₇×C₂³.₃₈D₄	φ: C₁₄/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:15C14	448,827
Q₈⋊C₄⋊₁₆C₁₄ = C₇×SD₁₆⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:16C14	448,848
Q₈⋊C₄⋊₁₇C₁₄ = C₇×C₈⋊D₄	φ: C₁₄/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:17C14	448,876
Q₈⋊C₄⋊₁₈C₁₄ = C₇×C₈.D₄	φ: C₁₄/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:18C14	448,878
Q₈⋊C₄⋊₁₉C₁₄ = C₇×C₄².₂₈C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out Q₈⋊C₄	224	Q8:C4:19C14	448,897
Q₈⋊C₄⋊₂₀C₁₄ = C₇×C₂³.₂₄D₄	φ: trivial image	224	Q8:C4:20C14	448,824
Q₈⋊C₄⋊₂₁C₁₄ = SD₁₆×C₂₈	φ: trivial image	224	Q8:C4:21C14	448,846

Non-split extensions G=N.Q with N=Q₈⋊C₄ and Q=C₁₄

extension	φ:Q→Out N	d	Label	ID
Q₈⋊C₄.₁C₁₄ = C₇×C₄.SD₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out Q₈⋊C₄	448	Q8:C4.1C14	448,895
Q₈⋊C₄.₂C₁₄ = C₇×C₄⋊₂Q₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out Q₈⋊C₄	448	Q8:C4.2C14	448,870
Q₈⋊C₄.₃C₁₄ = C₇×C₄.Q₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out Q₈⋊C₄	448	Q8:C4.3C14	448,885
Q₈⋊C₄.₄C₁₄ = C₇×Q₈⋊Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out Q₈⋊C₄	448	Q8:C4.4C14	448,883
Q₈⋊C₄.₅C₁₄ = C₇×Q₈.Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out Q₈⋊C₄	448	Q8:C4.5C14	448,887
Q₈⋊C₄.₆C₁₄ = C₇×Q₁₆⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Out Q₈⋊C₄	448	Q8:C4.6C14	448,849
Q₈⋊C₄.₇C₁₄ = C₇×C₄².₃₀C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out Q₈⋊C₄	448	Q8:C4.7C14	448,899
Q₈⋊C₄.₈C₁₄ = Q₁₆×C₂₈	φ: trivial image	448	Q8:C4.8C14	448,847

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Extensions 1→N→G→Q→1 with N=Q8⋊C4 and Q=C14

Extensions 1→N→G→Q→1 with N=Q₈⋊C₄ and Q=C₁₄