Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₄₄

Direct product G=N×Q with N=C₂³ and Q=C₄₄

		d	ρ	Label	ID
C₂³×C₄₄		352		C2^3xC44	352,188

Semidirect products G=N:Q with N=C₂³ and Q=C₄₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊C₄₄ = C₁₁×C₂³⋊C₄	φ: C₄₄/C₁₁ → C₄ ⊆ Aut C₂³	88	4	C2^3:C44	352,48
C₂³⋊₂C₄₄ = C₂²⋊C₄×C₂₂	φ: C₄₄/C₂₂ → C₂ ⊆ Aut C₂³	176		C2^3:2C44	352,150

Non-split extensions G=N.Q with N=C₂³ and Q=C₄₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.C₄₄ = C₁₁×C₄.D₄	φ: C₄₄/C₁₁ → C₄ ⊆ Aut C₂³	88	4	C2^3.C44	352,49
C₂³.₂C₄₄ = C₁₁×C₂²⋊C₈	φ: C₄₄/C₂₂ → C₂ ⊆ Aut C₂³	176		C2^3.2C44	352,47
C₂³.₃C₄₄ = M₄(2)×C₂₂	φ: C₄₄/C₂₂ → C₂ ⊆ Aut C₂³	176		C2^3.3C44	352,165

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Extensions 1→N→G→Q→1 with N=C23 and Q=C44