Extensions 1→N→G→Q→1 with N=C₁₃ and Q=C₂³⋊C₄

Direct product G=N×Q with N=C₁₃ and Q=C₂³⋊C₄

		d	ρ	Label	ID
C₁₃×C₂³⋊C₄		104	4	C13xC2^3:C4	416,49

Semidirect products G=N:Q with N=C₁₃ and Q=C₂³⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊₁(C₂³⋊C₄) = D₂₆.D₄	φ: C₂³⋊C₄/C₂×C₄ → C₄ ⊆ Aut C₁₃	104	4+	C13:1(C2^3:C4)	416,74
C₁₃⋊₂(C₂³⋊C₄) = D₂₆.₄D₄	φ: C₂³⋊C₄/C₂³ → C₄ ⊆ Aut C₁₃	104	4	C13:2(C2^3:C4)	416,86
C₁₃⋊₃(C₂³⋊C₄) = C₂².₂D₅₂	φ: C₂³⋊C₄/C₂²⋊C₄ → C₂ ⊆ Aut C₁₃	104	4	C13:3(C2^3:C4)	416,13
C₁₃⋊₄(C₂³⋊C₄) = C₂³⋊Dic₁₃	φ: C₂³⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₁₃	104	4	C13:4(C2^3:C4)	416,41

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