Extensions 1→N→G→Q→1 with N=D₄⋊C₄ and Q=C₁₄

Direct product G=N×Q with N=D₄⋊C₄ and Q=C₁₄

		d	ρ	Label	ID
C₁₄×D₄⋊C₄		224		C14xD4:C4	448,822

Semidirect products G=N:Q with N=D₄⋊C₄ and Q=C₁₄

extension	φ:Q→Out N	d	Label	ID
D₄⋊C₄⋊₁C₁₄ = C₇×C₈⋊₈D₄	φ: C₁₄/C₇ → C₂ ⊆ Out D₄⋊C₄	224	D4:C4:1C14	448,873
D₄⋊C₄⋊₂C₁₄ = C₇×C₈⋊₇D₄	φ: C₁₄/C₇ → C₂ ⊆ Out D₄⋊C₄	224	D4:C4:2C14	448,874
D₄⋊C₄⋊₃C₁₄ = C₇×C₄.₄D₈	φ: C₁₄/C₇ → C₂ ⊆ Out D₄⋊C₄	224	D4:C4:3C14	448,894
D₄⋊C₄⋊₄C₁₄ = C₇×C₂²⋊D₈	φ: C₁₄/C₇ → C₂ ⊆ Out D₄⋊C₄	112	D4:C4:4C14	448,855
D₄⋊C₄⋊₅C₁₄ = C₇×D₄.₇D₄	φ: C₁₄/C₇ → C₂ ⊆ Out D₄⋊C₄	224	D4:C4:5C14	448,860
D₄⋊C₄⋊₆C₁₄ = C₇×C₄⋊D₈	φ: C₁₄/C₇ → C₂ ⊆ Out D₄⋊C₄	224	D4:C4:6C14	448,867
D₄⋊C₄⋊₇C₁₄ = C₇×C₂².D₈	φ: C₁₄/C₇ → C₂ ⊆ Out D₄⋊C₄	224	D4:C4:7C14	448,888
D₄⋊C₄⋊₈C₁₄ = C₇×D₄⋊D₄	φ: C₁₄/C₇ → C₂ ⊆ Out D₄⋊C₄	224	D4:C4:8C14	448,857
D₄⋊C₄⋊₉C₁₄ = C₇×C₂²⋊SD₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out D₄⋊C₄	112	D4:C4:9C14	448,858
D₄⋊C₄⋊₁₀C₁₄ = C₇×C₄⋊SD₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out D₄⋊C₄	224	D4:C4:10C14	448,868
D₄⋊C₄⋊₁₁C₁₄ = C₇×D₄.₂D₄	φ: C₁₄/C₇ → C₂ ⊆ Out D₄⋊C₄	224	D4:C4:11C14	448,871
D₄⋊C₄⋊₁₂C₁₄ = C₇×C₂³.₄₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out D₄⋊C₄	224	D4:C4:12C14	448,889
D₄⋊C₄⋊₁₃C₁₄ = C₇×C₂³.₁₉D₄	φ: C₁₄/C₇ → C₂ ⊆ Out D₄⋊C₄	224	D4:C4:13C14	448,890
D₄⋊C₄⋊₁₄C₁₄ = C₇×C₂³.₃₆D₄	φ: C₁₄/C₇ → C₂ ⊆ Out D₄⋊C₄	224	D4:C4:14C14	448,825
D₄⋊C₄⋊₁₅C₁₄ = C₇×C₂³.₃₇D₄	φ: C₁₄/C₇ → C₂ ⊆ Out D₄⋊C₄	112	D4:C4:15C14	448,826
D₄⋊C₄⋊₁₆C₁₄ = C₇×D₈⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Out D₄⋊C₄	224	D4:C4:16C14	448,850
D₄⋊C₄⋊₁₇C₁₄ = C₇×C₈⋊D₄	φ: C₁₄/C₇ → C₂ ⊆ Out D₄⋊C₄	224	D4:C4:17C14	448,876
D₄⋊C₄⋊₁₈C₁₄ = C₇×C₈⋊₂D₄	φ: C₁₄/C₇ → C₂ ⊆ Out D₄⋊C₄	224	D4:C4:18C14	448,877
D₄⋊C₄⋊₁₉C₁₄ = C₇×C₄².₂₉C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out D₄⋊C₄	224	D4:C4:19C14	448,898
D₄⋊C₄⋊₂₀C₁₄ = C₇×C₂³.₂₄D₄	φ: trivial image	224	D4:C4:20C14	448,824
D₄⋊C₄⋊₂₁C₁₄ = D₈×C₂₈	φ: trivial image	224	D4:C4:21C14	448,845

Non-split extensions G=N.Q with N=D₄⋊C₄ and Q=C₁₄

extension	φ:Q→Out N	d	Label	ID
D₄⋊C₄.₁C₁₄ = C₇×C₄².₇₈C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out D₄⋊C₄	224	D4:C4.1C14	448,896
D₄⋊C₄.₂C₁₄ = C₇×Q₈.D₄	φ: C₁₄/C₇ → C₂ ⊆ Out D₄⋊C₄	224	D4:C4.2C14	448,872
D₄⋊C₄.₃C₁₄ = C₇×D₄⋊Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out D₄⋊C₄	224	D4:C4.3C14	448,882
D₄⋊C₄.₄C₁₄ = C₇×D₄.Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out D₄⋊C₄	224	D4:C4.4C14	448,886
D₄⋊C₄.₅C₁₄ = C₇×D₄⋊₂Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out D₄⋊C₄	224	D4:C4.5C14	448,884
D₄⋊C₄.₆C₁₄ = C₇×SD₁₆⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Out D₄⋊C₄	224	D4:C4.6C14	448,848
D₄⋊C₄.₇C₁₄ = C₇×C₄².₂₈C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out D₄⋊C₄	224	D4:C4.7C14	448,897
D₄⋊C₄.₈C₁₄ = SD₁₆×C₂₈	φ: trivial image	224	D4:C4.8C14	448,846

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Extensions 1→N→G→Q→1 with N=D4⋊C4 and Q=C14

Extensions 1→N→G→Q→1 with N=D₄⋊C₄ and Q=C₁₄