Extensions 1→N→G→Q→1 with N=C₁₃ and Q=C₃×Q₈

Direct product G=N×Q with N=C₁₃ and Q=C₃×Q₈

		d	ρ	Label	ID
Q₈×C₃₉		312	2	Q8xC39	312,44

Semidirect products G=N:Q with N=C₁₃ and Q=C₃×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊(C₃×Q₈) = Dic₂₆⋊C₃	φ: C₃×Q₈/C₄ → C₆ ⊆ Aut C₁₃	104	6-	C13:(C3xQ8)	312,8
C₁₃⋊₂(C₃×Q₈) = Q₈×C₁₃⋊C₃	φ: C₃×Q₈/Q₈ → C₃ ⊆ Aut C₁₃	104	6	C13:2(C3xQ8)	312,24
C₁₃⋊₃(C₃×Q₈) = C₃×Dic₂₆	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₁₃	312	2	C13:3(C3xQ8)	312,27

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