Extensions 1→N→G→Q→1 with N=C₄○D₄ and Q=C₈

Direct product G=N×Q with N=C₄○D₄ and Q=C₈

		d	ρ	Label	ID
C₈×C₄○D₄		64		C8xC4oD4	128,1696

Semidirect products G=N:Q with N=C₄○D₄ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄⋊₁C₈ = C₄².₄₅₅D₄	φ: C₈/C₄ → C₂ ⊆ Out C₄○D₄	64		C4oD4:1C8	128,208
C₄○D₄⋊₂C₈ = C₄².₃₉₇D₄	φ: C₈/C₄ → C₂ ⊆ Out C₄○D₄	64		C4oD4:2C8	128,209
C₄○D₄⋊₃C₈ = C₄².₆₉₇C₂³	φ: C₈/C₄ → C₂ ⊆ Out C₄○D₄	64		C4oD4:3C8	128,1720

Non-split extensions G=N.Q with N=C₄○D₄ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄.₁C₈ = D₄.C₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₄○D₄	64	2	C4oD4.1C8	128,133
C₄○D₄.₂C₈ = C₂×D₄.C₈	φ: C₈/C₄ → C₂ ⊆ Out C₄○D₄	64		C4oD4.2C8	128,848
C₄○D₄.₃C₈ = M₅(2)⋊₁₂C₂²	φ: C₈/C₄ → C₂ ⊆ Out C₄○D₄	32	4	C4oD4.3C8	128,849
C₄○D₄.₄C₈ = Q₈○M₅(2)	φ: C₈/C₄ → C₂ ⊆ Out C₄○D₄	32	4	C4oD4.4C8	128,2139
C₄○D₄.₅C₈ = D₄○C₃₂	φ: trivial image	64	2	C4oD4.5C8	128,990
C₄○D₄.₆C₈ = C₂×D₄○C₁₆	φ: trivial image	64		C4oD4.6C8	128,2138

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