Extensions 1→N→G→Q→1 with N=C₈:C₄ and Q=C₂

Direct product G=NxQ with N=C₈:C₄ and Q=C₂

		d	ρ	Label	ID
C₂xC₈:C₄		64		C2xC8:C4	64,84

Semidirect products G=N:Q with N=C₈:C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈:C₄:₁C₂ = SD₁₆:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈:C₄	32		C8:C4:1C2	64,121
C₈:C₄:₂C₂ = D₈:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈:C₄	32		C8:C4:2C2	64,123
C₈:C₄:₃C₂ = C₈.₂₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈:C₄	16	4	C8:C4:3C2	64,125
C₈:C₄:₄C₂ = C₈:₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈:C₄	32		C8:C4:4C2	64,177
C₈:C₄:₅C₂ = C₈.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈:C₄	32		C8:C4:5C2	64,178
C₈:C₄:₆C₂ = C₄².C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₈:C₄	32		C8:C4:6C2	64,10
C₈:C₄:₇C₂ = C₄².₆C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈:C₄	32		C8:C4:7C2	64,113
C₈:C₄:₈C₂ = C₄².₇C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₈:C₄	32		C8:C4:8C2	64,114
C₈:C₄:₉C₂ = C₈:₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈:C₄	32		C8:C4:9C2	64,116
C₈:C₄:₁₀C₂ = C₄².₂₈C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₈:C₄	32		C8:C4:10C2	64,170
C₈:C₄:₁₁C₂ = C₄².₂₉C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₈:C₄	32		C8:C4:11C2	64,171
C₈:C₄:₁₂C₂ = C₄xM₄(2)	φ: trivial image	32		C8:C4:12C2	64,85
C₈:C₄:₁₃C₂ = C₈o₂M₄(2)	φ: trivial image	32		C8:C4:13C2	64,86

Non-split extensions G=N.Q with N=C₈:C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈:C₄.₁C₂ = Q₁₆:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈:C₄	64		C8:C4.1C2	64,122
C₈:C₄.₂C₂ = C₈:Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈:C₄	64		C8:C4.2C2	64,182
C₈:C₄.₃C₂ = C₄².₂C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₈:C₄	64		C8:C4.3C2	64,11
C₈:C₄.₄C₂ = C₁₆:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈:C₄	16	4	C8:C4.4C2	64,28
C₈:C₄.₅C₂ = C₈:₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈:C₄	64		C8:C4.5C2	64,127
C₈:C₄.₆C₂ = C₄².₃₀C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₈:C₄	64		C8:C4.6C2	64,172

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