Extensions 1→N→G→Q→1 with N=C₁₃ and Q=C₃²⋊C₄

Direct product G=N×Q with N=C₁₃ and Q=C₃²⋊C₄

		d	ρ	Label	ID
C₁₃×C₃²⋊C₄		78	4	C13xC3^2:C4	468,39

Semidirect products G=N:Q with N=C₁₃ and Q=C₃²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊(C₃²⋊C₄) = (C₃×C₃₉)⋊C₄	φ: C₃²⋊C₄/C₃² → C₄ ⊆ Aut C₁₃	78	4+	C13:(C3^2:C4)	468,41
C₁₃⋊₂(C₃²⋊C₄) = C₃²⋊Dic₁₃	φ: C₃²⋊C₄/C₃⋊S₃ → C₂ ⊆ Aut C₁₃	78	4	C13:2(C3^2:C4)	468,40

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