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
Q₈×C₅₂		416		Q8xC52	416,180

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊(C₄×Q₈) = Q₈×C₁₃⋊C₄	φ: C₄×Q₈/Q₈ → C₄ ⊆ Aut C₁₃	104	8-	C13:(C4xQ8)	416,208
C₁₃⋊₂(C₄×Q₈) = C₄×Dic₂₆	φ: C₄×Q₈/C₄² → C₂ ⊆ Aut C₁₃	416		C13:2(C4xQ8)	416,89
C₁₃⋊₃(C₄×Q₈) = Dic₁₃⋊₃Q₈	φ: C₄×Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₁₃	416		C13:3(C4xQ8)	416,108
C₁₃⋊₄(C₄×Q₈) = Q₈×Dic₁₃	φ: C₄×Q₈/C₂×Q₈ → C₂ ⊆ Aut C₁₃	416		C13:4(C4xQ8)	416,166

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