Extensions 1→N→G→Q→1 with N=C₄oD₈ and Q=C₄

Direct product G=NxQ with N=C₄oD₈ and Q=C₄

		d	ρ	Label	ID
C₄xC₄oD₈		64		C4xC4oD8	128,1671

Semidirect products G=N:Q with N=C₄oD₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₈:₁C₄ = C₂³.₂₄D₈	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₈	64		C4oD8:1C4	128,870
C₄oD₈:₂C₄ = C₂³.₃₉D₈	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₈	64		C4oD8:2C4	128,871
C₄oD₈:₃C₄ = C₂xD₈:₂C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₈	32		C4oD8:3C4	128,876
C₄oD₈:₄C₄ = C₂³.₁₃D₈	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₈	32	4	C4oD8:4C4	128,877
C₄oD₈:₅C₄ = C₄².₃₈₃D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₈	64		C4oD8:5C4	128,1675
C₄oD₈:₆C₄ = C₄².₂₈₀C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₈	64		C4oD8:6C4	128,1683
C₄oD₈:₇C₄ = C₄².₂₈₁C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₈	64		C4oD8:7C4	128,1684
C₄oD₈:₈C₄ = C₂xC₈.₂₆D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₈	32		C4oD8:8C4	128,1686
C₄oD₈:₉C₄ = M₄(2)oD₈	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₈	32	4	C4oD8:9C4	128,1689
C₄oD₈:₁₀C₄ = C₂xC₈oD₈	φ: trivial image	32		C4oD8:10C4	128,1685

Non-split extensions G=N.Q with N=C₄oD₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₈.₁C₄ = C₈wrC₂	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₈	16	2	C4oD8.1C4	128,67
C₄oD₈.₂C₄ = C₂xD₈.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₈	64		C4oD8.2C4	128,874
C₄oD₈.₃C₄ = C₈.₃₂D₈	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₈	16	4	C4oD8.3C4	128,68
C₄oD₈.₄C₄ = C₂³.₂₀SD₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₈	32	4	C4oD8.4C4	128,875
C₄oD₈.₅C₄ = C₂³.₂₁SD₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₈	32	4	C4oD8.5C4	128,880
C₄oD₈.₆C₄ = D₈.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₈	32	4	C4oD8.6C4	128,903
C₄oD₈.₇C₄ = C₁₆oD₈	φ: trivial image	32	2	C4oD8.7C4	128,902

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