Extensions 1→N→G→Q→1 with N=C₁₃ and Q=C₂²⋊C₄

Direct product G=N×Q with N=C₁₃ and Q=C₂²⋊C₄

		d	ρ	Label	ID
C₁₃×C₂²⋊C₄		104		C13xC2^2:C4	208,21

Semidirect products G=N:Q with N=C₁₃ and Q=C₂²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊(C₂²⋊C₄) = D₁₃.D₄	φ: C₂²⋊C₄/C₂² → C₄ ⊆ Aut C₁₃	52	4+	C13:(C2^2:C4)	208,34
C₁₃⋊₂(C₂²⋊C₄) = D₂₆⋊C₄	φ: C₂²⋊C₄/C₂×C₄ → C₂ ⊆ Aut C₁₃	104		C13:2(C2^2:C4)	208,14
C₁₃⋊₃(C₂²⋊C₄) = C₂³.D₁₃	φ: C₂²⋊C₄/C₂³ → C₂ ⊆ Aut C₁₃	104		C13:3(C2^2:C4)	208,19

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