Extensions 1→N→G→Q→1 with N=C₁₃ and Q=C₄²⋊C₂

Direct product G=N×Q with N=C₁₃ and Q=C₄²⋊C₂

		d	ρ	Label	ID
C₁₃×C₄²⋊C₂		208		C13xC4^2:C2	416,178

Semidirect products G=N:Q with N=C₁₃ and Q=C₄²⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊(C₄²⋊C₂) = D₂₆.C₂³	φ: C₄²⋊C₂/C₂×C₄ → C₄ ⊆ Aut C₁₃	104	4	C13:(C4^2:C2)	416,204
C₁₃⋊₂(C₄²⋊C₂) = C₄²⋊D₁₃	φ: C₄²⋊C₂/C₄² → C₂ ⊆ Aut C₁₃	208		C13:2(C4^2:C2)	416,93
C₁₃⋊₃(C₄²⋊C₂) = C₂³.₁₁D₂₆	φ: C₄²⋊C₂/C₂²⋊C₄ → C₂ ⊆ Aut C₁₃	208		C13:3(C4^2:C2)	416,98
C₁₃⋊₄(C₄²⋊C₂) = C₄⋊C₄⋊₇D₁₃	φ: C₄²⋊C₂/C₄⋊C₄ → C₂ ⊆ Aut C₁₃	208		C13:4(C4^2:C2)	416,113
C₁₃⋊₅(C₄²⋊C₂) = C₂³.₂₁D₂₆	φ: C₄²⋊C₂/C₂²×C₄ → C₂ ⊆ Aut C₁₃	208		C13:5(C4^2:C2)	416,147

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