Extensions 1→N→G→Q→1 with N=C₄.Q₈ and Q=D₇

Direct product G=NxQ with N=C₄.Q₈ and Q=D₇

		d	ρ	Label	ID
D₇xC₄.Q₈		224		D7xC4.Q8	448,393

Semidirect products G=N:Q with N=C₄.Q₈ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.Q₈:₁D₇ = D₅₆:₈C₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.Q₈	112	4	C4.Q8:1D7	448,45
C₄.Q₈:₂D₇ = C₈:(C₄xD₇)	φ: D₇/C₇ → C₂ ⊆ Out C₄.Q₈	224		C4.Q8:2D7	448,395
C₄.Q₈:₃D₇ = C₅₆:₇D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.Q₈	224		C4.Q8:3D7	448,399
C₄.Q₈:₄D₇ = C₈.₂D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₄.Q₈	224		C4.Q8:4D7	448,402
C₄.Q₈:₅D₇ = D₅₆:₉C₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.Q₈	224		C4.Q8:5D7	448,403
C₄.Q₈:₆D₇ = D₁₄.₂SD₁₆	φ: D₇/C₇ → C₂ ⊆ Out C₄.Q₈	224		C4.Q8:6D7	448,396
C₄.Q₈:₇D₇ = D₁₄.₄SD₁₆	φ: D₇/C₇ → C₂ ⊆ Out C₄.Q₈	224		C4.Q8:7D7	448,397
C₄.Q₈:₈D₇ = C₈:₈D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₄.Q₈	224		C4.Q8:8D7	448,398
C₄.Q₈:₉D₇ = C₄.Q₈:D₇	φ: D₇/C₇ → C₂ ⊆ Out C₄.Q₈	224		C4.Q8:9D7	448,400
C₄.Q₈:₁₀D₇ = C₂₈.(C₄oD₄)	φ: D₇/C₇ → C₂ ⊆ Out C₄.Q₈	224		C4.Q8:10D7	448,401
C₄.Q₈:₁₁D₇ = D₂₈:Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₄.Q₈	224		C4.Q8:11D7	448,404
C₄.Q₈:₁₂D₇ = D₂₈.Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₄.Q₈	224		C4.Q8:12D7	448,405
C₄.Q₈:₁₃D₇ = Dic₇:₈SD₁₆	φ: trivial image	224		C4.Q8:13D7	448,386
C₄.Q₈:₁₄D₇ = (C₈xD₇):C₄	φ: trivial image	224		C4.Q8:14D7	448,394

Non-split extensions G=N.Q with N=C₄.Q₈ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.Q₈.₁D₇ = C₅₆.Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₄.Q₈	112	4	C4.Q8.1D7	448,44
C₄.Q₈.₂D₇ = Dic₂₈:₉C₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.Q₈	448		C4.Q8.2D7	448,387
C₄.Q₈.₃D₇ = C₅₆:₃Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₄.Q₈	448		C4.Q8.3D7	448,390
C₄.Q₈.₄D₇ = Dic₁₄:Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₄.Q₈	448		C4.Q8.4D7	448,388
C₄.Q₈.₅D₇ = C₅₆:₅Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₄.Q₈	448		C4.Q8.5D7	448,389
C₄.Q₈.₆D₇ = Dic₁₄.Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₄.Q₈	448		C4.Q8.6D7	448,391
C₄.Q₈.₇D₇ = C₅₆.₈Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₄.Q₈	448		C4.Q8.7D7	448,392

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