Extensions 1→N→G→Q→1 with N=D₄ and Q=C₂xC₈

Direct product G=NxQ with N=D₄ and Q=C₂xC₈

		d	ρ	Label	ID
D₄xC₂xC₈		64		D4xC2xC8	128,1658

Semidirect products G=N:Q with N=D₄ and Q=C₂xC₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:₁(C₂xC₈) = C₈xD₈	φ: C₂xC₈/C₈ → C₂ ⊆ Out D₄	64		D4:1(C2xC8)	128,307
D₄:₂(C₂xC₈) = D₈:₅C₈	φ: C₂xC₈/C₈ → C₂ ⊆ Out D₄	64		D4:2(C2xC8)	128,312
D₄:₃(C₂xC₈) = C₂xD₄:C₈	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Out D₄	64		D4:3(C2xC8)	128,206
D₄:₄(C₂xC₈) = C₄².₄₅₅D₄	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Out D₄	64		D4:4(C2xC8)	128,208
D₄:₅(C₂xC₈) = C₄².₃₉₇D₄	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Out D₄	64		D4:5(C2xC8)	128,209
D₄:₆(C₂xC₈) = C₈xC₄oD₄	φ: trivial image	64		D4:6(C2xC8)	128,1696
D₄:₇(C₂xC₈) = C₄².₆₉₁C₂³	φ: trivial image	32		D4:7(C2xC8)	128,1704
D₄:₈(C₂xC₈) = C₄².₆₉₇C₂³	φ: trivial image	64		D4:8(C2xC8)	128,1720

Non-split extensions G=N.Q with N=D₄ and Q=C₂xC₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁(C₂xC₈) = C₈xSD₁₆	φ: C₂xC₈/C₈ → C₂ ⊆ Out D₄	64		D4.1(C2xC8)	128,308
D₄.₂(C₂xC₈) = SD₁₆:C₈	φ: C₂xC₈/C₈ → C₂ ⊆ Out D₄	64		D4.2(C2xC8)	128,310
D₄.₃(C₂xC₈) = C₁₆oD₈	φ: C₂xC₈/C₈ → C₂ ⊆ Out D₄	32	2	D4.3(C2xC8)	128,902
D₄.₄(C₂xC₈) = D₈.C₈	φ: C₂xC₈/C₈ → C₂ ⊆ Out D₄	32	4	D4.4(C2xC8)	128,903
D₄.₅(C₂xC₈) = C₄².₃₉₈D₄	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Out D₄	32		D4.5(C2xC8)	128,210
D₄.₆(C₂xC₈) = C₂xD₄.C₈	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Out D₄	64		D4.6(C2xC8)	128,848
D₄.₇(C₂xC₈) = M₅(2):₁₂C₂²	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Out D₄	32	4	D4.7(C2xC8)	128,849
D₄.₈(C₂xC₈) = C₂xD₄oC₁₆	φ: trivial image	64		D4.8(C2xC8)	128,2138
D₄.₉(C₂xC₈) = Q₈oM₅(2)	φ: trivial image	32	4	D4.9(C2xC8)	128,2139

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