Extensions 1→N→G→Q→1 with N=C₂²×D₄ and Q=C₂

Direct product G=N×Q with N=C₂²×D₄ and Q=C₂

		d	ρ	Label	ID
D₄×C₂³		32		D4xC2^3	64,261

Semidirect products G=N:Q with N=C₂²×D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₄)⋊₁C₂ = C₂³⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₄	32		(C2^2xD4):1C2	64,73
(C₂²×D₄)⋊₂C₂ = C₂²⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₄	16		(C2^2xD4):2C2	64,128
(C₂²×D₄)⋊₃C₂ = C₂×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₄	16		(C2^2xD4):3C2	64,202
(C₂²×D₄)⋊₄C₂ = C₂×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₄	32		(C2^2xD4):4C2	64,203
(C₂²×D₄)⋊₅C₂ = C₂×C₄⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₄	32		(C2^2xD4):5C2	64,211
(C₂²×D₄)⋊₆C₂ = C₂³⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₄	16		(C2^2xD4):6C2	64,215
(C₂²×D₄)⋊₇C₂ = C₂².₂₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₄	16		(C2^2xD4):7C2	64,216
(C₂²×D₄)⋊₈C₂ = D₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₄	16		(C2^2xD4):8C2	64,226
(C₂²×D₄)⋊₉C₂ = D₄⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₄	16		(C2^2xD4):9C2	64,227
(C₂²×D₄)⋊₁₀C₂ = C₂²×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₄	32		(C2^2xD4):10C2	64,250
(C₂²×D₄)⋊₁₁C₂ = C₂×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₄	16		(C2^2xD4):11C2	64,254
(C₂²×D₄)⋊₁₂C₂ = C₂×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₄	16		(C2^2xD4):12C2	64,264
(C₂²×D₄)⋊₁₃C₂ = C₂²×C₄○D₄	φ: trivial image	32		(C2^2xD4):13C2	64,263

Non-split extensions G=N.Q with N=C₂²×D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₄).₁C₂ = C₂³.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₄	32		(C2^2xD4).1C2	64,67
(C₂²×D₄).₂C₂ = C₂⁴.₃C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₄	32		(C2^2xD4).2C2	64,71
(C₂²×D₄).₃C₂ = C₂³.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₄	32		(C2^2xD4).3C2	64,75
(C₂²×D₄).₄C₂ = C₂×C₂³⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₄	16		(C2^2xD4).4C2	64,90
(C₂²×D₄).₅C₂ = C₂×C₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₄	16		(C2^2xD4).5C2	64,92
(C₂²×D₄).₆C₂ = C₂×D₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₄	32		(C2^2xD4).6C2	64,95
(C₂²×D₄).₇C₂ = C₂³.₃₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₄	16		(C2^2xD4).7C2	64,99
(C₂²×D₄).₈C₂ = C₂²⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₄	16		(C2^2xD4).8C2	64,131
(C₂²×D₄).₉C₂ = C₂².₁₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₄	16		(C2^2xD4).9C2	64,199
(C₂²×D₄).₁₀C₂ = C₂×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₄	32		(C2^2xD4).10C2	64,205
(C₂²×D₄).₁₁C₂ = C₂×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₄	32		(C2^2xD4).11C2	64,207
(C₂²×D₄).₁₂C₂ = C₂²×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₄	32		(C2^2xD4).12C2	64,251
(C₂²×D₄).₁₃C₂ = C₂×C₄×D₄	φ: trivial image	32		(C2^2xD4).13C2	64,196

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