Extensions 1→N→G→Q→1 with N=C₄ and Q=Q₈×C₁₁

Direct product G=N×Q with N=C₄ and Q=Q₈×C₁₁

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

Semidirect products G=N:Q with N=C₄ and Q=Q₈×C₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(Q₈×C₁₁) = C₁₁×C₄⋊Q₈	φ: Q₈×C₁₁/C₄₄ → C₂ ⊆ Aut C₄	352		C4:(Q8xC11)	352,163

Non-split extensions G=N.Q with N=C₄ and Q=Q₈×C₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(Q₈×C₁₁) = C₁₁×C₄.Q₈	φ: Q₈×C₁₁/C₄₄ → C₂ ⊆ Aut C₄	352		C4.1(Q8xC11)	352,55
C₄.₂(Q₈×C₁₁) = C₁₁×C₂.D₈	φ: Q₈×C₁₁/C₄₄ → C₂ ⊆ Aut C₄	352		C4.2(Q8xC11)	352,56
C₄.₃(Q₈×C₁₁) = C₁₁×C₄².C₂	φ: Q₈×C₁₁/C₄₄ → C₂ ⊆ Aut C₄	352		C4.3(Q8xC11)	352,160
C₄.₄(Q₈×C₁₁) = C₁₁×C₄⋊C₈	central extension (φ=1)	352		C4.4(Q8xC11)	352,54

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