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

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

		d	ρ	Label	ID
C₁₃×Q₈⋊C₄		416		C13xQ8:C4	416,53

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊(Q₈⋊C₄) = D₁₃.Q₁₆	φ: Q₈⋊C₄/Q₈ → C₄ ⊆ Aut C₁₃	104	8-	C13:(Q8:C4)	416,84
C₁₃⋊₂(Q₈⋊C₄) = C₂₆.Q₁₆	φ: Q₈⋊C₄/C₄⋊C₄ → C₂ ⊆ Aut C₁₃	416		C13:2(Q8:C4)	416,17
C₁₃⋊₃(Q₈⋊C₄) = C₅₂.₄₄D₄	φ: Q₈⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₁₃	416		C13:3(Q8:C4)	416,23
C₁₃⋊₄(Q₈⋊C₄) = Q₈⋊Dic₁₃	φ: Q₈⋊C₄/C₂×Q₈ → C₂ ⊆ Aut C₁₃	416		C13:4(Q8:C4)	416,42

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