Extensions 1→N→G→Q→1 with N=C₁₃ and Q=C₄⋊D₄

Direct product G=N×Q with N=C₁₃ and Q=C₄⋊D₄

		d	ρ	Label	ID
C₁₃×C₄⋊D₄		208		C13xC4:D4	416,182

Semidirect products G=N:Q with N=C₁₃ and Q=C₄⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊₁(C₄⋊D₄) = D₂₆⋊D₄	φ: C₄⋊D₄/C₂²⋊C₄ → C₂ ⊆ Aut C₁₃	208		C13:1(C4:D4)	416,105
C₁₃⋊₂(C₄⋊D₄) = C₄⋊₂D₅₂	φ: C₄⋊D₄/C₄⋊C₄ → C₂ ⊆ Aut C₁₃	208		C13:2(C4:D4)	416,116
C₁₃⋊₃(C₄⋊D₄) = C₅₂⋊₇D₄	φ: C₄⋊D₄/C₂²×C₄ → C₂ ⊆ Aut C₁₃	208		C13:3(C4:D4)	416,151
C₁₃⋊₄(C₄⋊D₄) = C₅₂⋊₂D₄	φ: C₄⋊D₄/C₂×D₄ → C₂ ⊆ Aut C₁₃	208		C13:4(C4:D4)	416,159
C₁₃⋊₅(C₄⋊D₄) = Dic₁₃⋊D₄	φ: C₄⋊D₄/C₂×D₄ → C₂ ⊆ Aut C₁₃	208		C13:5(C4:D4)	416,160

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