Extensions 1→N→G→Q→1 with N=C₄○D₄ and Q=C₂×C₁₄

Direct product G=N×Q with N=C₄○D₄ and Q=C₂×C₁₄

		d	ρ	Label	ID
C₄○D₄×C₂×C₁₄		224		C4oD4xC2xC14	448,1388

Semidirect products G=N:Q with N=C₄○D₄ and Q=C₂×C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄⋊₁(C₂×C₁₄) = C₇×D₄○D₈	φ: C₂×C₁₄/C₇ → C₂² ⊆ Out C₄○D₄	112	4	C4oD4:1(C2xC14)	448,1359
C₄○D₄⋊₂(C₂×C₁₄) = C₇×D₄○SD₁₆	φ: C₂×C₁₄/C₇ → C₂² ⊆ Out C₄○D₄	112	4	C4oD4:2(C2xC14)	448,1360
C₄○D₄⋊₃(C₂×C₁₄) = C₁₄×C₄○D₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out C₄○D₄	224		C4oD4:3(C2xC14)	448,1355
C₄○D₄⋊₄(C₂×C₁₄) = C₁₄×C₈⋊C₂²	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out C₄○D₄	112		C4oD4:4(C2xC14)	448,1356
C₄○D₄⋊₅(C₂×C₁₄) = C₇×D₈⋊C₂²	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out C₄○D₄	112	4	C4oD4:5(C2xC14)	448,1358
C₄○D₄⋊₆(C₂×C₁₄) = C₁₄×2₊¹⁺⁴	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out C₄○D₄	112		C4oD4:6(C2xC14)	448,1389
C₄○D₄⋊₇(C₂×C₁₄) = C₁₄×2_-¹⁺⁴	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out C₄○D₄	224		C4oD4:7(C2xC14)	448,1390
C₄○D₄⋊₈(C₂×C₁₄) = C₇×C₂.C₂⁵	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out C₄○D₄	112	4	C4oD4:8(C2xC14)	448,1391

Non-split extensions G=N.Q with N=C₄○D₄ and Q=C₂×C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄.₁(C₂×C₁₄) = C₇×D₄⋊₄D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Out C₄○D₄	56	4	C4oD4.1(C2xC14)	448,861
C₄○D₄.₂(C₂×C₁₄) = C₇×D₄.₈D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Out C₄○D₄	112	4	C4oD4.2(C2xC14)	448,862
C₄○D₄.₃(C₂×C₁₄) = C₇×D₄.₉D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Out C₄○D₄	112	4	C4oD4.3(C2xC14)	448,863
C₄○D₄.₄(C₂×C₁₄) = C₇×D₄.₁₀D₄	φ: C₂×C₁₄/C₇ → C₂² ⊆ Out C₄○D₄	112	4	C4oD4.4(C2xC14)	448,864
C₄○D₄.₅(C₂×C₁₄) = C₇×Q₈○D₈	φ: C₂×C₁₄/C₇ → C₂² ⊆ Out C₄○D₄	224	4	C4oD4.5(C2xC14)	448,1361
C₄○D₄.₆(C₂×C₁₄) = C₁₄×C₄≀C₂	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out C₄○D₄	112		C4oD4.6(C2xC14)	448,828
C₄○D₄.₇(C₂×C₁₄) = C₇×C₄²⋊C₂²	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out C₄○D₄	112	4	C4oD4.7(C2xC14)	448,829
C₄○D₄.₈(C₂×C₁₄) = C₇×C₈○D₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out C₄○D₄	112	2	C4oD4.8(C2xC14)	448,851
C₄○D₄.₉(C₂×C₁₄) = C₇×C₈.₂₆D₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out C₄○D₄	112	4	C4oD4.9(C2xC14)	448,852
C₄○D₄.₁₀(C₂×C₁₄) = C₇×D₄.₃D₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out C₄○D₄	112	4	C4oD4.10(C2xC14)	448,879
C₄○D₄.₁₁(C₂×C₁₄) = C₇×D₄.₄D₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out C₄○D₄	112	4	C4oD4.11(C2xC14)	448,880
C₄○D₄.₁₂(C₂×C₁₄) = C₇×D₄.₅D₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out C₄○D₄	224	4	C4oD4.12(C2xC14)	448,881
C₄○D₄.₁₃(C₂×C₁₄) = C₁₄×C₈.C₂²	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Out C₄○D₄	224		C4oD4.13(C2xC14)	448,1357
C₄○D₄.₁₄(C₂×C₁₄) = C₁₄×C₈○D₄	φ: trivial image	224		C4oD4.14(C2xC14)	448,1350
C₄○D₄.₁₅(C₂×C₁₄) = C₇×Q₈○M₄(2)	φ: trivial image	112	4	C4oD4.15(C2xC14)	448,1351

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