Extensions 1→N→G→Q→1 with N=C₂³⋊C₈ and Q=C₂

Direct product G=N×Q with N=C₂³⋊C₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₂³⋊C₈		32		C2xC2^3:C8	128,188

Semidirect products G=N:Q with N=C₂³⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊C₈⋊₁C₂ = C₂⁴⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	16		C2^3:C8:1C2	128,48
C₂³⋊C₈⋊₂C₂ = C₂⁴.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	16		C2^3:C8:2C2	128,75
C₂³⋊C₈⋊₃C₂ = C₂³⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	16		C2^3:C8:3C2	128,327
C₂³⋊C₈⋊₄C₂ = C₂³.₅D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	32		C2^3:C8:4C2	128,339
C₂³⋊C₈⋊₅C₂ = C₂⁴.₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	16		C2^3:C8:5C2	128,332
C₂³⋊C₈⋊₆C₂ = C₂⁴.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	32		C2^3:C8:6C2	128,338
C₂³⋊C₈⋊₇C₂ = C₂⁴.₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	32		C2^3:C8:7C2	128,344
C₂³⋊C₈⋊₈C₂ = C₂⁴.₁₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	32		C2^3:C8:8C2	128,350
C₂³⋊C₈⋊₉C₂ = C₂³⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	16		C2^3:C8:9C2	128,328
C₂³⋊C₈⋊₁₀C₂ = C₂³⋊₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	32		C2^3:C8:10C2	128,333
C₂³⋊C₈⋊₁₁C₂ = C₂⁴.₁₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	32		C2^3:C8:11C2	128,345
C₂³⋊C₈⋊₁₂C₂ = C₂⁵.₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	16		C2^3:C8:12C2	128,194
C₂³⋊C₈⋊₁₃C₂ = C₂³⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	32		C2^3:C8:13C2	128,197
C₂³⋊C₈⋊₁₄C₂ = C₄².₄₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	32		C2^3:C8:14C2	128,198
C₂³⋊C₈⋊₁₅C₂ = C₂³⋊C₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	32		C2^3:C8:15C2	128,200
C₂³⋊C₈⋊₁₆C₂ = C₄².₃₉₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	32		C2^3:C8:16C2	128,201
C₂³⋊C₈⋊₁₇C₂ = C₂⁴.(C₂×C₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	32		C2^3:C8:17C2	128,203
C₂³⋊C₈⋊₁₈C₂ = C₂³.₈M₄(2)	φ: trivial image	32		C2^3:C8:18C2	128,191
C₂³⋊C₈⋊₁₉C₂ = C₄².₃₉₃D₄	φ: trivial image	32		C2^3:C8:19C2	128,192

Non-split extensions G=N.Q with N=C₂³⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊C₈.₁C₂ = C₂³.₁₅M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	32		C2^3:C8.1C2	128,49
C₂³⋊C₈.₂C₂ = C₂³.₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	32		C2^3:C8.2C2	128,58
C₂³⋊C₈.₃C₂ = C₂³.₄D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	32		C2^3:C8.3C2	128,76
C₂³⋊C₈.₄C₂ = C₂³.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	32		C2^3:C8.4C2	128,83
C₂³⋊C₈.₅C₂ = C₂⁴.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	32		C2^3:C8.5C2	128,84
C₂³⋊C₈.₆C₂ = C₂³⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	32		C2^3:C8.6C2	128,334
C₂³⋊C₈.₇C₂ = C₂⁴.₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	32		C2^3:C8.7C2	128,346
C₂³⋊C₈.₈C₂ = C₂⁴.₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	32		C2^3:C8.8C2	128,340
C₂³⋊C₈.₉C₂ = C₄².₄₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	32		C2^3:C8.9C2	128,196
C₂³⋊C₈.₁₀C₂ = C₄².₃₇₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊C₈	32		C2^3:C8.10C2	128,205
C₂³⋊C₈.₁₁C₂ = C₄².₃₇₁D₄	φ: trivial image	32		C2^3:C8.11C2	128,190

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