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

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

		d	ρ	Label	ID
C₁₃×C₈⋊C₂²		104	4	C13xC8:C2^2	416,197

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊₁(C₈⋊C₂²) = C₈⋊D₂₆	φ: C₈⋊C₂²/M₄(2) → C₂ ⊆ Aut C₁₃	104	4+	C13:1(C8:C2^2)	416,129
C₁₃⋊₂(C₈⋊C₂²) = D₈⋊D₁₃	φ: C₈⋊C₂²/D₈ → C₂ ⊆ Aut C₁₃	104	4	C13:2(C8:C2^2)	416,132
C₁₃⋊₃(C₈⋊C₂²) = Q₈⋊D₂₆	φ: C₈⋊C₂²/SD₁₆ → C₂ ⊆ Aut C₁₃	104	4+	C13:3(C8:C2^2)	416,135
C₁₃⋊₄(C₈⋊C₂²) = D₅₂⋊₆C₂²	φ: C₈⋊C₂²/C₂×D₄ → C₂ ⊆ Aut C₁₃	104	4	C13:4(C8:C2^2)	416,153
C₁₃⋊₅(C₈⋊C₂²) = D₄⋊D₂₆	φ: C₈⋊C₂²/C₄○D₄ → C₂ ⊆ Aut C₁₃	104	4+	C13:5(C8:C2^2)	416,170

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