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	416,189

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊₁(C₄⋊Q₈) = C₅₂⋊₂Q₈	φ: C₄⋊Q₈/C₄² → C₂ ⊆ Aut C₁₃	416		C13:1(C4:Q8)	416,90
C₁₃⋊₂(C₄⋊Q₈) = C₅₂⋊Q₈	φ: C₄⋊Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₁₃	416		C13:2(C4:Q8)	416,109
C₁₃⋊₃(C₄⋊Q₈) = Dic₁₃⋊Q₈	φ: C₄⋊Q₈/C₂×Q₈ → C₂ ⊆ Aut C₁₃	416		C13:3(C4:Q8)	416,165

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