Extensions 1→N→G→Q→1 with N=C₄xQ₈ and Q=D₇

Direct product G=NxQ with N=C₄xQ₈ and Q=D₇

		d	ρ	Label	ID
C₄xQ₈xD₇		224		C4xQ8xD7	448,1024

Semidirect products G=N:Q with N=C₄xQ₈ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xQ₈):₁D₇ = C₄xQ₈:D₇	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	224		(C4xQ8):1D7	448,559
(C₄xQ₈):₂D₇ = C₄².₅₆D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	224		(C4xQ8):2D7	448,560
(C₄xQ₈):₃D₇ = Q₈:D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	224		(C4xQ8):3D7	448,561
(C₄xQ₈):₄D₇ = Q₈.₁D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	224		(C4xQ8):4D7	448,562
(C₄xQ₈):₅D₇ = C₄².₁₂₂D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	224		(C4xQ8):5D7	448,1021
(C₄xQ₈):₆D₇ = C₄².₁₂₅D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	224		(C4xQ8):6D7	448,1025
(C₄xQ₈):₇D₇ = C₄².₁₂₆D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	224		(C4xQ8):7D7	448,1027
(C₄xQ₈):₈D₇ = Q₈xD₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	224		(C4xQ8):8D7	448,1028
(C₄xQ₈):₉D₇ = Q₈:₅D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	224		(C4xQ8):9D7	448,1029
(C₄xQ₈):₁₀D₇ = Q₈:₆D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	224		(C4xQ8):10D7	448,1030
(C₄xQ₈):₁₁D₇ = C₄².₂₃₂D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	224		(C4xQ8):11D7	448,1031
(C₄xQ₈):₁₂D₇ = D₂₈:₁₀Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	224		(C4xQ8):12D7	448,1032
(C₄xQ₈):₁₃D₇ = C₄².₁₃₁D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	224		(C4xQ8):13D7	448,1033
(C₄xQ₈):₁₄D₇ = C₄².₁₃₂D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	224		(C4xQ8):14D7	448,1034
(C₄xQ₈):₁₅D₇ = C₄².₁₃₃D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	224		(C4xQ8):15D7	448,1035
(C₄xQ₈):₁₆D₇ = C₄².₁₃₄D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	224		(C4xQ8):16D7	448,1036
(C₄xQ₈):₁₇D₇ = C₄².₁₃₅D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	224		(C4xQ8):17D7	448,1037
(C₄xQ₈):₁₈D₇ = C₄².₁₃₆D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	224		(C4xQ8):18D7	448,1038
(C₄xQ₈):₁₉D₇ = C₄xQ₈:₂D₇	φ: trivial image	224		(C4xQ8):19D7	448,1026

Non-split extensions G=N.Q with N=C₄xQ₈ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xQ₈).₁D₇ = C₂₈.₂₆Q₁₆	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	448		(C4xQ8).1D7	448,92
(C₄xQ₈).₂D₇ = C₂₈.₄₈SD₁₆	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	448		(C4xQ8).2D7	448,554
(C₄xQ₈).₃D₇ = C₂₈.₂₃Q₁₆	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	448		(C4xQ8).3D7	448,555
(C₄xQ₈).₄D₇ = Q₈.₃Dic₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	448		(C4xQ8).4D7	448,556
(C₄xQ₈).₅D₇ = C₄².₂₁₀D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	448		(C4xQ8).5D7	448,558
(C₄xQ₈).₆D₇ = C₄xC₇:Q₁₆	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	448		(C4xQ8).6D7	448,563
(C₄xQ₈).₇D₇ = C₄².₅₉D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	448		(C4xQ8).7D7	448,564
(C₄xQ₈).₈D₇ = C₂₈:₇Q₁₆	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	448		(C4xQ8).8D7	448,565
(C₄xQ₈).₉D₇ = Q₈xDic₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	448		(C4xQ8).9D7	448,1019
(C₄xQ₈).₁₀D₇ = Dic₁₄:₁₀Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	448		(C4xQ8).10D7	448,1020
(C₄xQ₈).₁₁D₇ = Q₈:₅Dic₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	448		(C4xQ8).11D7	448,1022
(C₄xQ₈).₁₂D₇ = Q₈:₆Dic₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄xQ₈	448		(C4xQ8).12D7	448,1023
(C₄xQ₈).₁₃D₇ = Q₈xC₇:C₈	φ: trivial image	448		(C4xQ8).13D7	448,557

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