Extensions 1→N→G→Q→1 with N=C₁₃ and Q=C₄².C₂

Direct product G=N×Q with N=C₁₃ and Q=C₄².C₂

		d	ρ	Label	ID
C₁₃×C₄².C₂		416		C13xC4^2.C2	416,186

Semidirect products G=N:Q with N=C₁₃ and Q=C₄².C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊₁(C₄².C₂) = C₅₂.₆Q₈	φ: C₄².C₂/C₄² → C₂ ⊆ Aut C₁₃	416		C13:1(C4^2.C2)	416,91
C₁₃⋊₂(C₄².C₂) = Dic₁₃.Q₈	φ: C₄².C₂/C₄⋊C₄ → C₂ ⊆ Aut C₁₃	416		C13:2(C4^2.C2)	416,110
C₁₃⋊₃(C₄².C₂) = C₄.Dic₂₆	φ: C₄².C₂/C₄⋊C₄ → C₂ ⊆ Aut C₁₃	416		C13:3(C4^2.C2)	416,111

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁