Extensions 1→N→G→Q→1 with N=C₄²⋊C₂ and Q=C₂

Direct product G=N×Q with N=C₄²⋊C₂ and Q=C₂

		d	ρ	Label	ID
C₂×C₄²⋊C₂		32		C2xC4^2:C2	64,195

Semidirect products G=N:Q with N=C₄²⋊C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊C₂⋊₁C₂ = C₂³.C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	16	4	C4^2:C2:1C2	64,91
C₄²⋊C₂⋊₂C₂ = C₂³.₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	32		C4^2:C2:2C2	64,97
C₄²⋊C₂⋊₃C₂ = C₂³.₃₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	16		C4^2:C2:3C2	64,99
C₄²⋊C₂⋊₄C₂ = C₄²⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	16	4	C4^2:C2:4C2	64,102
C₄²⋊C₂⋊₅C₂ = C₂³.₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	32		C4^2:C2:5C2	64,163
C₄²⋊C₂⋊₆C₂ = C₂².₁₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	16		C4^2:C2:6C2	64,199
C₄²⋊C₂⋊₇C₂ = C₂³.₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	32		C4^2:C2:7C2	64,201
C₄²⋊C₂⋊₈C₂ = C₂².₁₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	16		C4^2:C2:8C2	64,206
C₄²⋊C₂⋊₉C₂ = C₂³.₃₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	32		C4^2:C2:9C2	64,210
C₄²⋊C₂⋊₁₀C₂ = C₂².₂₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	16		C4^2:C2:10C2	64,216
C₄²⋊C₂⋊₁₁C₂ = C₂³.₃₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	32		C4^2:C2:11C2	64,217
C₄²⋊C₂⋊₁₂C₂ = C₂².₃₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	32		C4^2:C2:12C2	64,221
C₄²⋊C₂⋊₁₃C₂ = C₂².₃₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	32		C4^2:C2:13C2	64,223
C₄²⋊C₂⋊₁₄C₂ = C₂².₄₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	16		C4^2:C2:14C2	64,232
C₄²⋊C₂⋊₁₅C₂ = C₂².₄₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	32		C4^2:C2:15C2	64,233
C₄²⋊C₂⋊₁₆C₂ = C₂².₄₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	32		C4^2:C2:16C2	64,234
C₄²⋊C₂⋊₁₇C₂ = C₂².₄₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	32		C4^2:C2:17C2	64,236
C₄²⋊C₂⋊₁₈C₂ = C₂².₅₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	32		C4^2:C2:18C2	64,237
C₄²⋊C₂⋊₁₉C₂ = C₄×C₄○D₄	φ: trivial image	32		C4^2:C2:19C2	64,198

Non-split extensions G=N.Q with N=C₄²⋊C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊C₂.₁C₂ = C₄.₉C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	16	4	C4^2:C2.1C2	64,18
C₄²⋊C₂.₂C₂ = C₄²⋊₆C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	16		C4^2:C2.2C2	64,20
C₄²⋊C₂.₃C₂ = M₄(2)⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	16	4	C4^2:C2.3C2	64,25
C₄²⋊C₂.₄C₂ = C₂³.₃₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	32		C4^2:C2.4C2	64,100
C₄²⋊C₂.₅C₂ = C₄².₆C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	32		C4^2:C2.5C2	64,105
C₄²⋊C₂.₆C₂ = C₂³.₂₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	32		C4^2:C2.6C2	64,108
C₄²⋊C₂.₇C₂ = M₄(2)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	32		C4^2:C2.7C2	64,109
C₄²⋊C₂.₈C₂ = C₄².₇C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	32		C4^2:C2.8C2	64,114
C₄²⋊C₂.₉C₂ = C₂³.₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	32		C4^2:C2.9C2	64,166
C₄²⋊C₂.₁₀C₂ = C₂³.₃₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	32		C4^2:C2.10C2	64,200
C₄²⋊C₂.₁₁C₂ = C₂³.₃₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	32		C4^2:C2.11C2	64,214
C₄²⋊C₂.₁₂C₂ = C₂².₃₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	32		C4^2:C2.12C2	64,222
C₄²⋊C₂.₁₃C₂ = C₂³.₄₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊C₂	32		C4^2:C2.13C2	64,225
C₄²⋊C₂.₁₄C₂ = C₈○₂M₄(2)	φ: trivial image	32		C4^2:C2.14C2	64,86

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