Extensions 1→N→G→Q→1 with N=D₄ and Q=C₂xQ₈

Direct product G=NxQ with N=D₄ and Q=C₂xQ₈

		d	ρ	Label	ID
C₂xD₄xQ₈		64		C2xD4xQ8	128,2198

Semidirect products G=N:Q with N=D₄ and Q=C₂xQ₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:₁(C₂xQ₈) = C₂xD₄:Q₈	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Out D₄	64		D4:1(C2xQ8)	128,1802
D₄:₂(C₂xQ₈) = C₂xD₄:₂Q₈	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Out D₄	64		D4:2(C2xQ8)	128,1803
D₄:₃(C₂xQ₈) = C₄².₄₄₈D₄	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Out D₄	64		D4:3(C2xQ8)	128,1811
D₄:₄(C₂xQ₈) = Q₈xD₈	φ: C₂xQ₈/Q₈ → C₂ ⊆ Out D₄	64		D4:4(C2xQ8)	128,2110
D₄:₅(C₂xQ₈) = D₈:₄Q₈	φ: C₂xQ₈/Q₈ → C₂ ⊆ Out D₄	64		D4:5(C2xQ8)	128,2116
D₄:₆(C₂xQ₈) = C₂xD₄:₃Q₈	φ: trivial image	64		D4:6(C2xQ8)	128,2204
D₄:₇(C₂xQ₈) = Q₈xC₄oD₄	φ: trivial image	64		D4:7(C2xQ8)	128,2210
D₄:₈(C₂xQ₈) = C₂².₉₀C₂⁵	φ: trivial image	32		D4:8(C2xQ8)	128,2233
D₄:₉(C₂xQ₈) = C₂².₉₂C₂⁵	φ: trivial image	64		D4:9(C2xQ8)	128,2235

Non-split extensions G=N.Q with N=D₄ and Q=C₂xQ₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁(C₂xQ₈) = C₂xD₄.Q₈	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Out D₄	64		D4.1(C2xQ8)	128,1804
D₄.₂(C₂xQ₈) = C₄².₄₄₇D₄	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Out D₄	64		D4.2(C2xQ8)	128,1808
D₄.₃(C₂xQ₈) = C₄².₂₁₉D₄	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Out D₄	32		D4.3(C2xQ8)	128,1809
D₄.₄(C₂xQ₈) = C₄².₄₄₉D₄	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Out D₄	64		D4.4(C2xQ8)	128,1812
D₄.₅(C₂xQ₈) = C₄².₂₀C₂³	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Out D₄	32		D4.5(C2xQ8)	128,1813
D₄.₆(C₂xQ₈) = C₄².₂₂C₂³	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Out D₄	64		D4.6(C2xQ8)	128,1815
D₄.₇(C₂xQ₈) = C₄².₂₃C₂³	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Out D₄	64		D4.7(C2xQ8)	128,1816
D₄.₈(C₂xQ₈) = Q₈xSD₁₆	φ: C₂xQ₈/Q₈ → C₂ ⊆ Out D₄	64		D4.8(C2xQ8)	128,2111
D₄.₉(C₂xQ₈) = D₈:₆Q₈	φ: C₂xQ₈/Q₈ → C₂ ⊆ Out D₄	64		D4.9(C2xQ8)	128,2112
D₄.₁₀(C₂xQ₈) = SD₁₆:₄Q₈	φ: C₂xQ₈/Q₈ → C₂ ⊆ Out D₄	64		D4.10(C2xQ8)	128,2113
D₄.₁₁(C₂xQ₈) = SD₁₆:Q₈	φ: C₂xQ₈/Q₈ → C₂ ⊆ Out D₄	64		D4.11(C2xQ8)	128,2117
D₄.₁₂(C₂xQ₈) = SD₁₆:₂Q₈	φ: C₂xQ₈/Q₈ → C₂ ⊆ Out D₄	64		D4.12(C2xQ8)	128,2118
D₄.₁₃(C₂xQ₈) = SD₁₆:₃Q₈	φ: C₂xQ₈/Q₈ → C₂ ⊆ Out D₄	64		D4.13(C2xQ8)	128,2120
D₄.₁₄(C₂xQ₈) = D₈:₅Q₈	φ: C₂xQ₈/Q₈ → C₂ ⊆ Out D₄	64		D4.14(C2xQ8)	128,2121
D₄.₁₅(C₂xQ₈) = C₂².₉₃C₂⁵	φ: trivial image	64		D4.15(C2xQ8)	128,2236

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