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

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

		d	ρ	Label	ID
C₁₃×C₄.Q₈		416		C13xC4.Q8	416,56

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊(C₄.Q₈) = D₂₆.₈D₄	φ: C₄.Q₈/C₈ → C₄ ⊆ Aut C₁₃	104	4	C13:(C4.Q8)	416,68
C₁₃⋊₂(C₄.Q₈) = C₅₂.Q₈	φ: C₄.Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₁₃	416		C13:2(C4.Q8)	416,15
C₁₃⋊₃(C₄.Q₈) = C₁₀₄⋊₆C₄	φ: C₄.Q₈/C₂×C₈ → C₂ ⊆ Aut C₁₃	416		C13:3(C4.Q8)	416,24

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