Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂²xC₂₂

Direct product G=NxQ with N=C₄ and Q=C₂²xC₂₂

		d	ρ	Label	ID
C₂³xC₄₄		352		C2^3xC44	352,188

Semidirect products G=N:Q with N=C₄ and Q=C₂²xC₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(C₂²xC₂₂) = D₄xC₂xC₂₂	φ: C₂²xC₂₂/C₂xC₂₂ → C₂ ⊆ Aut C₄	176		C4:(C2^2xC22)	352,189

Non-split extensions G=N.Q with N=C₄ and Q=C₂²xC₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂²xC₂₂) = D₈xC₂₂	φ: C₂²xC₂₂/C₂xC₂₂ → C₂ ⊆ Aut C₄	176		C4.1(C2^2xC22)	352,167
C₄.₂(C₂²xC₂₂) = SD₁₆xC₂₂	φ: C₂²xC₂₂/C₂xC₂₂ → C₂ ⊆ Aut C₄	176		C4.2(C2^2xC22)	352,168
C₄.₃(C₂²xC₂₂) = Q₁₆xC₂₂	φ: C₂²xC₂₂/C₂xC₂₂ → C₂ ⊆ Aut C₄	352		C4.3(C2^2xC22)	352,169
C₄.₄(C₂²xC₂₂) = C₁₁xC₄oD₈	φ: C₂²xC₂₂/C₂xC₂₂ → C₂ ⊆ Aut C₄	176	2	C4.4(C2^2xC22)	352,170
C₄.₅(C₂²xC₂₂) = C₁₁xC₈:C₂²	φ: C₂²xC₂₂/C₂xC₂₂ → C₂ ⊆ Aut C₄	88	4	C4.5(C2^2xC22)	352,171
C₄.₆(C₂²xC₂₂) = C₁₁xC₈.C₂²	φ: C₂²xC₂₂/C₂xC₂₂ → C₂ ⊆ Aut C₄	176	4	C4.6(C2^2xC22)	352,172
C₄.₇(C₂²xC₂₂) = Q₈xC₂xC₂₂	φ: C₂²xC₂₂/C₂xC₂₂ → C₂ ⊆ Aut C₄	352		C4.7(C2^2xC22)	352,190
C₄.₈(C₂²xC₂₂) = C₄oD₄xC₂₂	φ: C₂²xC₂₂/C₂xC₂₂ → C₂ ⊆ Aut C₄	176		C4.8(C2^2xC22)	352,191
C₄.₉(C₂²xC₂₂) = C₁₁x2₊¹⁺⁴	φ: C₂²xC₂₂/C₂xC₂₂ → C₂ ⊆ Aut C₄	88	4	C4.9(C2^2xC22)	352,192
C₄.₁₀(C₂²xC₂₂) = C₁₁x2_-¹⁺⁴	φ: C₂²xC₂₂/C₂xC₂₂ → C₂ ⊆ Aut C₄	176	4	C4.10(C2^2xC22)	352,193
C₄.₁₁(C₂²xC₂₂) = M₄(2)xC₂₂	central extension (φ=1)	176		C4.11(C2^2xC22)	352,165
C₄.₁₂(C₂²xC₂₂) = C₁₁xC₈oD₄	central extension (φ=1)	176	2	C4.12(C2^2xC22)	352,166

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