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

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

		d	ρ	Label	ID
C₄×C₈○D₄		64		C4xC8oD4	128,1606

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₈○D₄⋊₁C₄ = C₈○D₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₈○D₄	32	4	C8oD4:1C4	128,546
C₈○D₄⋊₂C₄ = C₄○D₄.₄Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₈○D₄	64		C8oD4:2C4	128,547
C₈○D₄⋊₃C₄ = C₄○D₄.₅Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₈○D₄	64		C8oD4:3C4	128,548
C₈○D₄⋊₄C₄ = C₄○D₄.₇Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₈○D₄	64		C8oD4:4C4	128,1644
C₈○D₄⋊₅C₄ = C₄○D₄.₈Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₈○D₄	64		C8oD4:5C4	128,1645
C₈○D₄⋊₆C₄ = Q₈.C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₈○D₄	32		C8oD4:6C4	128,496
C₈○D₄⋊₇C₄ = D₄.₃C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₈○D₄	32		C8oD4:7C4	128,497
C₈○D₄⋊₈C₄ = D₄.₅C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₈○D₄	64		C8oD4:8C4	128,1607

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₈○D₄.₁C₄ = M₄(2).₂₉C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₈○D₄	32	4	C8oD4.1C4	128,1648
C₈○D₄.₂C₄ = D₄.C₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₈○D₄	64	2	C8oD4.2C4	128,133
C₈○D₄.₃C₄ = C₂×D₄.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₈○D₄	64		C8oD4.3C4	128,848
C₈○D₄.₄C₄ = M₅(2)⋊₁₂C₂²	φ: C₄/C₂ → C₂ ⊆ Out C₈○D₄	32	4	C8oD4.4C4	128,849
C₈○D₄.₅C₄ = Q₈○M₅(2)	φ: C₄/C₂ → C₂ ⊆ Out C₈○D₄	32	4	C8oD4.5C4	128,2139
C₈○D₄.₆C₄ = D₄○C₃₂	φ: trivial image	64	2	C8oD4.6C4	128,990
C₈○D₄.₇C₄ = C₂×D₄○C₁₆	φ: trivial image	64		C8oD4.7C4	128,2138

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