Extensions 1→N→G→Q→1 with N=C₄ and Q=Q₈×C₁₃

Direct product G=N×Q with N=C₄ and Q=Q₈×C₁₃

		d	ρ	Label	ID
Q₈×C₅₂		416		Q8xC52	416,180

Semidirect products G=N:Q with N=C₄ and Q=Q₈×C₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(Q₈×C₁₃) = C₁₃×C₄⋊Q₈	φ: Q₈×C₁₃/C₅₂ → C₂ ⊆ Aut C₄	416		C4:(Q8xC13)	416,189

Non-split extensions G=N.Q with N=C₄ and Q=Q₈×C₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(Q₈×C₁₃) = C₁₃×C₄.Q₈	φ: Q₈×C₁₃/C₅₂ → C₂ ⊆ Aut C₄	416		C4.1(Q8xC13)	416,56
C₄.₂(Q₈×C₁₃) = C₁₃×C₂.D₈	φ: Q₈×C₁₃/C₅₂ → C₂ ⊆ Aut C₄	416		C4.2(Q8xC13)	416,57
C₄.₃(Q₈×C₁₃) = C₁₃×C₄².C₂	φ: Q₈×C₁₃/C₅₂ → C₂ ⊆ Aut C₄	416		C4.3(Q8xC13)	416,186
C₄.₄(Q₈×C₁₃) = C₁₃×C₄⋊C₈	central extension (φ=1)	416		C4.4(Q8xC13)	416,55

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