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

Direct product G=N×Q with N=C₈⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₈⋊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 = C₄×M₄(2)	φ: trivial image	32		C8:C4:12C2	64,85
C₈⋊C₄⋊₁₃C₂ = C₈○₂M₄(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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