Extensions 1→N→G→Q→1 with N=C₄⋊C₈ and Q=D₇

Direct product G=N×Q with N=C₄⋊C₈ and Q=D₇

		d	ρ	Label	ID
D₇×C₄⋊C₈		224		D7xC4:C8	448,366

Semidirect products G=N:Q with N=C₄⋊C₈ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₈⋊₁D₇ = D₂₈⋊₂C₈	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:1D7	448,40
C₄⋊C₈⋊₂D₇ = C₄.D₅₆	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:2D7	448,42
C₄⋊C₈⋊₃D₇ = C₄⋊D₅₆	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:3D7	448,377
C₄⋊C₈⋊₄D₇ = D₂₈⋊₄Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:4D7	448,380
C₄⋊C₈⋊₅D₇ = D₂₈.₁₉D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:5D7	448,378
C₄⋊C₈⋊₆D₇ = C₄².₃₆D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:6D7	448,379
C₄⋊C₈⋊₇D₇ = D₂₈.₃Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:7D7	448,381
C₄⋊C₈⋊₈D₇ = C₂₈⋊SD₁₆	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:8D7	448,375
C₄⋊C₈⋊₉D₇ = D₂₈⋊₃Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:9D7	448,376
C₄⋊C₈⋊₁₀D₇ = Dic₁₄⋊₈D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:10D7	448,382
C₄⋊C₈⋊₁₁D₇ = C₄².₂₀₂D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:11D7	448,369
C₄⋊C₈⋊₁₂D₇ = D₁₄⋊₃M₄(2)	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:12D7	448,370
C₄⋊C₈⋊₁₃D₇ = C₂₈⋊M₄(2)	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:13D7	448,371
C₄⋊C₈⋊₁₄D₇ = C₂₈⋊₂M₄(2)	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:14D7	448,372
C₄⋊C₈⋊₁₅D₇ = C₄².₃₀D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:15D7	448,373
C₄⋊C₈⋊₁₆D₇ = C₄².₃₁D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	224		C4:C8:16D7	448,374
C₄⋊C₈⋊₁₇D₇ = C₄².₂₀₀D₁₄	φ: trivial image	224		C4:C8:17D7	448,367
C₄⋊C₈⋊₁₈D₇ = D₂₈⋊C₈	φ: trivial image	224		C4:C8:18D7	448,368

Non-split extensions G=N.Q with N=C₄⋊C₈ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₈.₁D₇ = C₂₈.₅₃D₈	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	448		C4:C8.1D7	448,36
C₄⋊C₈.₂D₇ = C₂₈.₃₉SD₁₆	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	448		C4:C8.2D7	448,37
C₄⋊C₈.₃D₇ = C₄.Dic₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	448		C4:C8.3D7	448,38
C₄⋊C₈.₄D₇ = C₂₈.₄₇D₈	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	448		C4:C8.4D7	448,39
C₄⋊C₈.₅D₇ = Dic₁₄⋊₂C₈	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	448		C4:C8.5D7	448,41
C₄⋊C₈.₆D₇ = C₂₈.₂D₈	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	448		C4:C8.6D7	448,43
C₄⋊C₈.₇D₇ = C₄⋊Dic₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	448		C4:C8.7D7	448,383
C₄⋊C₈.₈D₇ = C₂₈.₇Q₁₆	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	448		C4:C8.8D7	448,384
C₄⋊C₈.₉D₇ = Dic₁₄.₃Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	448		C4:C8.9D7	448,363
C₄⋊C₈.₁₀D₇ = Dic₁₄⋊₄Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	448		C4:C8.10D7	448,385
C₄⋊C₈.₁₁D₇ = C₄².₂₇D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	448		C4:C8.11D7	448,362
C₄⋊C₈.₁₂D₇ = C₂₈.M₄(2)	φ: D₇/C₇ → C₂ ⊆ Out C₄⋊C₈	448		C4:C8.12D7	448,365
C₄⋊C₈.₁₃D₇ = Dic₁₄⋊C₈	φ: trivial image	448		C4:C8.13D7	448,364

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