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
D₄×C₅₂		208		D4xC52	416,179

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊(C₄×D₄) = D₄×C₁₃⋊C₄	φ: C₄×D₄/D₄ → C₄ ⊆ Aut C₁₃	52	8+	C13:(C4xD4)	416,206
C₁₃⋊₂(C₄×D₄) = C₄×D₅₂	φ: C₄×D₄/C₄² → C₂ ⊆ Aut C₁₃	208		C13:2(C4xD4)	416,94
C₁₃⋊₃(C₄×D₄) = Dic₁₃⋊₄D₄	φ: C₄×D₄/C₂²⋊C₄ → C₂ ⊆ Aut C₁₃	208		C13:3(C4xD4)	416,102
C₁₃⋊₄(C₄×D₄) = D₅₂⋊₈C₄	φ: C₄×D₄/C₄⋊C₄ → C₂ ⊆ Aut C₁₃	208		C13:4(C4xD4)	416,114
C₁₃⋊₅(C₄×D₄) = C₄×C₁₃⋊D₄	φ: C₄×D₄/C₂²×C₄ → C₂ ⊆ Aut C₁₃	208		C13:5(C4xD4)	416,149
C₁₃⋊₆(C₄×D₄) = D₄×Dic₁₃	φ: C₄×D₄/C₂×D₄ → C₂ ⊆ Aut C₁₃	208		C13:6(C4xD4)	416,155

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