Extensions 1→N→G→Q→1 with N=C₂³×C₂₂ and Q=C₂

Direct product G=N×Q with N=C₂³×C₂₂ and Q=C₂

		d	ρ	Label	ID
C₂⁴×C₂₂		352		C2^4xC22	352,195

Semidirect products G=N:Q with N=C₂³×C₂₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₂₂)⋊₁C₂ = C₁₁×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₂₂	88		(C2^3xC22):1C2	352,155
(C₂³×C₂₂)⋊₂C₂ = D₄×C₂×C₂₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₂₂	176		(C2^3xC22):2C2	352,189
(C₂³×C₂₂)⋊₃C₂ = C₂⁴⋊D₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₂₂	88		(C2^3xC22):3C2	352,148
(C₂³×C₂₂)⋊₄C₂ = C₂²×C₁₁⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₂₂	176		(C2^3xC22):4C2	352,187
(C₂³×C₂₂)⋊₅C₂ = C₂⁴×D₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₂₂	176		(C2^3xC22):5C2	352,194

Non-split extensions G=N.Q with N=C₂³×C₂₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₂₂).₁C₂ = C₂²⋊C₄×C₂₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₂₂	176		(C2^3xC22).1C2	352,150
(C₂³×C₂₂).₂C₂ = C₂×C₂³.D₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₂₂	176		(C2^3xC22).2C2	352,147
(C₂³×C₂₂).₃C₂ = C₂³×Dic₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₂₂	352		(C2^3xC22).3C2	352,186

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