Extensions 1→N→G→Q→1 with N=C₄₄ and Q=Q₈

Direct product G=N×Q with N=C₄₄ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₄₄		352		Q8xC44	352,154

Semidirect products G=N:Q with N=C₄₄ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₄⋊Q₈ = C₄₄⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄₄	352		C44:Q8	352,83
C₄₄⋊₂Q₈ = C₄₄⋊₂Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄₄	352		C44:2Q8	352,64
C₄₄⋊₃Q₈ = C₄×Dic₂₂	φ: Q₈/C₄ → C₂ ⊆ Aut C₄₄	352		C44:3Q8	352,63
C₄₄⋊₄Q₈ = C₁₁×C₄⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄₄	352		C44:4Q8	352,163

Non-split extensions G=N.Q with N=C₄₄ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₄.₁Q₈ = C₄₄.Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄₄	352		C44.1Q8	352,13
C₄₄.₂Q₈ = C₄.Dic₂₂	φ: Q₈/C₂ → C₂² ⊆ Aut C₄₄	352		C44.2Q8	352,14
C₄₄.₃Q₈ = C₄₄.₃Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₄₄	352		C44.3Q8	352,85
C₄₄.₄Q₈ = C₄₄.₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄₄	352		C44.4Q8	352,23
C₄₄.₅Q₈ = C₄₄.₅Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄₄	352		C44.5Q8	352,24
C₄₄.₆Q₈ = C₄₄.₆Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄₄	352		C44.6Q8	352,65
C₄₄.₇Q₈ = C₄₄⋊C₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄₄	352		C44.7Q8	352,10
C₄₄.₈Q₈ = Dic₁₁⋊C₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄₄	352		C44.8Q8	352,20
C₄₄.₉Q₈ = C₁₁×C₄.Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄₄	352		C44.9Q8	352,55
C₄₄.₁₀Q₈ = C₁₁×C₂.D₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₄₄	352		C44.10Q8	352,56
C₄₄.₁₁Q₈ = C₁₁×C₄².C₂	φ: Q₈/C₄ → C₂ ⊆ Aut C₄₄	352		C44.11Q8	352,160
C₄₄.₁₂Q₈ = C₁₁×C₄⋊C₈	central extension (φ=1)	352		C44.12Q8	352,54

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