Extensions 1→N→G→Q→1 with N=C₄○D₈ and Q=C₄

Direct product G=N×Q with N=C₄○D₈ and Q=C₄

		d	ρ	Label	ID
C₄×C₄○D₈		64		C4xC4oD8	128,1671

Semidirect products G=N:Q with N=C₄○D₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₈⋊₁C₄ = C₂³.₂₄D₈	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₈	64		C4oD8:1C4	128,870
C₄○D₈⋊₂C₄ = C₂³.₃₉D₈	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₈	64		C4oD8:2C4	128,871
C₄○D₈⋊₃C₄ = C₂×D₈⋊₂C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₈	32		C4oD8:3C4	128,876
C₄○D₈⋊₄C₄ = C₂³.₁₃D₈	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₈	32	4	C4oD8:4C4	128,877
C₄○D₈⋊₅C₄ = C₄².₃₈₃D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₈	64		C4oD8:5C4	128,1675
C₄○D₈⋊₆C₄ = C₄².₂₈₀C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₈	64		C4oD8:6C4	128,1683
C₄○D₈⋊₇C₄ = C₄².₂₈₁C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₈	64		C4oD8:7C4	128,1684
C₄○D₈⋊₈C₄ = C₂×C₈.₂₆D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₈	32		C4oD8:8C4	128,1686
C₄○D₈⋊₉C₄ = M₄(2)○D₈	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₈	32	4	C4oD8:9C4	128,1689
C₄○D₈⋊₁₀C₄ = C₂×C₈○D₈	φ: trivial image	32		C4oD8:10C4	128,1685

Non-split extensions G=N.Q with N=C₄○D₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₈.₁C₄ = C₈≀C₂	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₈	16	2	C4oD8.1C4	128,67
C₄○D₈.₂C₄ = C₂×D₈.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₈	64		C4oD8.2C4	128,874
C₄○D₈.₃C₄ = C₈.₃₂D₈	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₈	16	4	C4oD8.3C4	128,68
C₄○D₈.₄C₄ = C₂³.₂₀SD₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₈	32	4	C4oD8.4C4	128,875
C₄○D₈.₅C₄ = C₂³.₂₁SD₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₈	32	4	C4oD8.5C4	128,880
C₄○D₈.₆C₄ = D₈.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₈	32	4	C4oD8.6C4	128,903
C₄○D₈.₇C₄ = C₁₆○D₈	φ: trivial image	32	2	C4oD8.7C4	128,902

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