Extensions 1→N→G→Q→1 with N=C₁₃ and Q=C₂²⋊C₈

Direct product G=N×Q with N=C₁₃ and Q=C₂²⋊C₈

		d	ρ	Label	ID
C₁₃×C₂²⋊C₈		208		C13xC2^2:C8	416,48

Semidirect products G=N:Q with N=C₁₃ and Q=C₂²⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊₁(C₂²⋊C₈) = D₂₆⋊C₈	φ: C₂²⋊C₈/C₂×C₄ → C₄ ⊆ Aut C₁₃	208		C13:1(C2^2:C8)	416,78
C₁₃⋊₂(C₂²⋊C₈) = C₂₆.M₄(2)	φ: C₂²⋊C₈/C₂³ → C₄ ⊆ Aut C₁₃	208		C13:2(C2^2:C8)	416,87
C₁₃⋊₃(C₂²⋊C₈) = D₂₆⋊₁C₈	φ: C₂²⋊C₈/C₂×C₈ → C₂ ⊆ Aut C₁₃	208		C13:3(C2^2:C8)	416,27
C₁₃⋊₄(C₂²⋊C₈) = C₅₂.₅₅D₄	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Aut C₁₃	208		C13:4(C2^2:C8)	416,37

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