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

Direct product G=NxQ with N=C₄²:C₂ and Q=C₂

		d	ρ	Label	ID
C₂xC₄²: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 = C₄xC₄oD₄	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 = C₈o₂M₄(2)	φ: trivial image	32		C4^2:C2.14C2	64,86

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