Extensions 1→N→G→Q→1 with N=D₄ and Q=C₂×C₈

Direct product G=N×Q with N=D₄ and Q=C₂×C₈

		d	ρ	Label	ID
D₄×C₂×C₈		64		D4xC2xC8	128,1658

Semidirect products G=N:Q with N=D₄ and Q=C₂×C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁(C₂×C₈) = C₈×D₈	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₄	64		D4:1(C2xC8)	128,307
D₄⋊₂(C₂×C₈) = D₈⋊₅C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₄	64		D4:2(C2xC8)	128,312
D₄⋊₃(C₂×C₈) = C₂×D₄⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₄	64		D4:3(C2xC8)	128,206
D₄⋊₄(C₂×C₈) = C₄².₄₅₅D₄	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₄	64		D4:4(C2xC8)	128,208
D₄⋊₅(C₂×C₈) = C₄².₃₉₇D₄	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₄	64		D4:5(C2xC8)	128,209
D₄⋊₆(C₂×C₈) = C₈×C₄○D₄	φ: trivial image	64		D4:6(C2xC8)	128,1696
D₄⋊₇(C₂×C₈) = C₄².₆₉₁C₂³	φ: trivial image	32		D4:7(C2xC8)	128,1704
D₄⋊₈(C₂×C₈) = C₄².₆₉₇C₂³	φ: trivial image	64		D4:8(C2xC8)	128,1720

Non-split extensions G=N.Q with N=D₄ and Q=C₂×C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁(C₂×C₈) = C₈×SD₁₆	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₄	64		D4.1(C2xC8)	128,308
D₄.₂(C₂×C₈) = SD₁₆⋊C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₄	64		D4.2(C2xC8)	128,310
D₄.₃(C₂×C₈) = C₁₆○D₈	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₄	32	2	D4.3(C2xC8)	128,902
D₄.₄(C₂×C₈) = D₈.C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₄	32	4	D4.4(C2xC8)	128,903
D₄.₅(C₂×C₈) = C₄².₃₉₈D₄	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₄	32		D4.5(C2xC8)	128,210
D₄.₆(C₂×C₈) = C₂×D₄.C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₄	64		D4.6(C2xC8)	128,848
D₄.₇(C₂×C₈) = M₅(2)⋊₁₂C₂²	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₄	32	4	D4.7(C2xC8)	128,849
D₄.₈(C₂×C₈) = C₂×D₄○C₁₆	φ: trivial image	64		D4.8(C2xC8)	128,2138
D₄.₉(C₂×C₈) = Q₈○M₅(2)	φ: trivial image	32	4	D4.9(C2xC8)	128,2139

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