Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₂xC₂₂

Direct product G=NxQ with N=C₂³ and Q=C₂xC₂₂

		d	ρ	Label	ID
C₂⁴xC₂₂		352		C2^4xC22	352,195

Semidirect products G=N:Q with N=C₂³ and Q=C₂xC₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³:₁(C₂xC₂₂) = C₁₁xC₂²wrC₂	φ: C₂xC₂₂/C₁₁ → C₂² ⊆ Aut C₂³	88		C2^3:1(C2xC22)	352,155
C₂³:₂(C₂xC₂₂) = C₁₁x2₊¹⁺⁴	φ: C₂xC₂₂/C₁₁ → C₂² ⊆ Aut C₂³	88	4	C2^3:2(C2xC22)	352,192
C₂³:₃(C₂xC₂₂) = D₄xC₂xC₂₂	φ: C₂xC₂₂/C₂₂ → C₂ ⊆ Aut C₂³	176		C2^3:3(C2xC22)	352,189

Non-split extensions G=N.Q with N=C₂³ and Q=C₂xC₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.₁(C₂xC₂₂) = C₁₁xC₂³:C₄	φ: C₂xC₂₂/C₁₁ → C₂² ⊆ Aut C₂³	88	4	C2^3.1(C2xC22)	352,48
C₂³.₂(C₂xC₂₂) = C₁₁xC₄.₄D₄	φ: C₂xC₂₂/C₁₁ → C₂² ⊆ Aut C₂³	176		C2^3.2(C2xC22)	352,159
C₂³.₃(C₂xC₂₂) = C₁₁xC₄²:₂C₂	φ: C₂xC₂₂/C₁₁ → C₂² ⊆ Aut C₂³	176		C2^3.3(C2xC22)	352,161
C₂³.₄(C₂xC₂₂) = C₁₁xC₄:₁D₄	φ: C₂xC₂₂/C₁₁ → C₂² ⊆ Aut C₂³	176		C2^3.4(C2xC22)	352,162
C₂³.₅(C₂xC₂₂) = C₂²:C₄xC₂₂	φ: C₂xC₂₂/C₂₂ → C₂ ⊆ Aut C₂³	176		C2^3.5(C2xC22)	352,150
C₂³.₆(C₂xC₂₂) = C₁₁xC₄²:C₂	φ: C₂xC₂₂/C₂₂ → C₂ ⊆ Aut C₂³	176		C2^3.6(C2xC22)	352,152
C₂³.₇(C₂xC₂₂) = D₄xC₄₄	φ: C₂xC₂₂/C₂₂ → C₂ ⊆ Aut C₂³	176		C2^3.7(C2xC22)	352,153
C₂³.₈(C₂xC₂₂) = C₁₁xC₄:D₄	φ: C₂xC₂₂/C₂₂ → C₂ ⊆ Aut C₂³	176		C2^3.8(C2xC22)	352,156
C₂³.₉(C₂xC₂₂) = C₁₁xC₂²:Q₈	φ: C₂xC₂₂/C₂₂ → C₂ ⊆ Aut C₂³	176		C2^3.9(C2xC22)	352,157
C₂³.₁₀(C₂xC₂₂) = C₁₁xC₂².D₄	φ: C₂xC₂₂/C₂₂ → C₂ ⊆ Aut C₂³	176		C2^3.10(C2xC22)	352,158
C₂³.₁₁(C₂xC₂₂) = C₄oD₄xC₂₂	φ: C₂xC₂₂/C₂₂ → C₂ ⊆ Aut C₂³	176		C2^3.11(C2xC22)	352,191
C₂³.₁₂(C₂xC₂₂) = C₁₁xC₂.C₄²	central extension (φ=1)	352		C2^3.12(C2xC22)	352,44
C₂³.₁₃(C₂xC₂₂) = C₄:C₄xC₂₂	central extension (φ=1)	352		C2^3.13(C2xC22)	352,151
C₂³.₁₄(C₂xC₂₂) = Q₈xC₂xC₂₂	central extension (φ=1)	352		C2^3.14(C2xC22)	352,190

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