Extensions 1→N→G→Q→1 with N=C₈⋊Dic₇ and Q=C₂

Direct product G=N×Q with N=C₈⋊Dic₇ and Q=C₂

		d	ρ	Label	ID
C₂×C₈⋊Dic₇		448		C2xC8:Dic7	448,638

Semidirect products G=N:Q with N=C₈⋊Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊Dic₇⋊₁C₂ = D₅₆⋊₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	112	4	C8:Dic7:1C2	448,75
C₈⋊Dic₇⋊₂C₂ = D₅₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	224		C8:Dic7:2C2	448,245
C₈⋊Dic₇⋊₃C₂ = C₂³.₄₇D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	224		C8:Dic7:3C2	448,655
C₈⋊Dic₇⋊₄C₂ = C₅₆⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	224		C8:Dic7:4C2	448,669
C₈⋊Dic₇⋊₅C₂ = C₅₆.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	224		C8:Dic7:5C2	448,671
C₈⋊Dic₇⋊₆C₂ = C₂³.₃₄D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	224		C8:Dic7:6C2	448,255
C₈⋊Dic₇⋊₇C₂ = C₂³.₁₀D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	224		C8:Dic7:7C2	448,257
C₈⋊Dic₇⋊₈C₂ = C₂³.₃₈D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	224		C8:Dic7:8C2	448,269
C₈⋊Dic₇⋊₉C₂ = C₂³.₁₃D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	224		C8:Dic7:9C2	448,271
C₈⋊Dic₇⋊₁₀C₂ = D₄⋊Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	224		C8:Dic7:10C2	448,295
C₈⋊Dic₇⋊₁₁C₂ = D₄.Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	224		C8:Dic7:11C2	448,297
C₈⋊Dic₇⋊₁₂C₂ = D₁₄.SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	224		C8:Dic7:12C2	448,311
C₈⋊Dic₇⋊₁₃C₂ = C₈⋊Dic₇⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	224		C8:Dic7:13C2	448,313
C₈⋊Dic₇⋊₁₄C₂ = D₁₄.₁SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	224		C8:Dic7:14C2	448,339
C₈⋊Dic₇⋊₁₅C₂ = (C₂×C₈).D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	224		C8:Dic7:15C2	448,349
C₈⋊Dic₇⋊₁₆C₂ = D₂₈⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	224		C8:Dic7:16C2	448,376
C₈⋊Dic₇⋊₁₇C₂ = D₂₈.₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	224		C8:Dic7:17C2	448,381
C₈⋊Dic₇⋊₁₈C₂ = C₅₆⋊₃₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	224		C8:Dic7:18C2	448,648
C₈⋊Dic₇⋊₁₉C₂ = C₅₆⋊(C₂×C₄)	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	224		C8:Dic7:19C2	448,415
C₈⋊Dic₇⋊₂₀C₂ = D₈⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	224		C8:Dic7:20C2	448,686
C₈⋊Dic₇⋊₂₁C₂ = C₅₆⋊₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	224		C8:Dic7:21C2	448,693
C₈⋊Dic₇⋊₂₂C₂ = C₅₆.₃₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	224		C8:Dic7:22C2	448,723
C₈⋊Dic₇⋊₂₃C₂ = D₈⋊₂Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	112	4	C8:Dic7:23C2	448,123
C₈⋊Dic₇⋊₂₄C₂ = D₇×C₄.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	224		C8:Dic7:24C2	448,393
C₈⋊Dic₇⋊₂₅C₂ = (C₈×D₇)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	224		C8:Dic7:25C2	448,394
C₈⋊Dic₇⋊₂₆C₂ = SD₁₆×Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	224		C8:Dic7:26C2	448,695
C₈⋊Dic₇⋊₂₇C₂ = C₅₆⋊₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	224		C8:Dic7:27C2	448,705
C₈⋊Dic₇⋊₂₈C₂ = C₄×C₅₆⋊C₂	φ: trivial image	224		C8:Dic7:28C2	448,225
C₈⋊Dic₇⋊₂₉C₂ = C₂³.₂₂D₂₈	φ: trivial image	224		C8:Dic7:29C2	448,640

Non-split extensions G=N.Q with N=C₈⋊Dic₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊Dic₇.₁C₂ = C₁₆⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	112	4	C8:Dic7.1C2	448,70
C₈⋊Dic₇.₂C₂ = C₈⋊Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	448		C8:Dic7.2C2	448,236
C₈⋊Dic₇.₃C₂ = Dic₂₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	448		C8:Dic7.3C2	448,250
C₈⋊Dic₇.₄C₂ = C₅₆⋊₉Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	448		C8:Dic7.4C2	448,214
C₈⋊Dic₇.₅C₂ = C₅₆.₁₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	448		C8:Dic7.5C2	448,217
C₈⋊Dic₇.₆C₂ = Q₈⋊Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	448		C8:Dic7.6C2	448,325
C₈⋊Dic₇.₇C₂ = Q₈.₂Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	448		C8:Dic7.7C2	448,333
C₈⋊Dic₇.₈C₂ = Dic₁₄.₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	448		C8:Dic7.8C2	448,363
C₈⋊Dic₇.₉C₂ = Dic₁₄⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	448		C8:Dic7.9C2	448,385
C₈⋊Dic₇.₁₀C₂ = C₅₆⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	448		C8:Dic7.10C2	448,410
C₈⋊Dic₇.₁₁C₂ = Q₁₆⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	448		C8:Dic7.11C2	448,718
C₈⋊Dic₇.₁₂C₂ = C₈.Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	112	4	C8:Dic7.12C2	448,51
C₈⋊Dic₇.₁₃C₂ = C₅₆⋊₅Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	448		C8:Dic7.13C2	448,389
C₈⋊Dic₇.₁₄C₂ = C₅₆.₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈⋊Dic₇	448		C8:Dic7.14C2	448,392

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C8⋊Dic7 and Q=C2

Extensions 1→N→G→Q→1 with N=C₈⋊Dic₇ and Q=C₂