Extensions 1→N→G→Q→1 with N=C₁₃ and Q=C₈○D₄

Direct product G=N×Q with N=C₁₃ and Q=C₈○D₄

		d	ρ	Label	ID
C₁₃×C₈○D₄		208	2	C13xC8oD4	416,192

Semidirect products G=N:Q with N=C₁₃ and Q=C₈○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊₁(C₈○D₄) = Dic₂₆.C₄	φ: C₈○D₄/D₄ → C₄ ⊆ Aut C₁₃	208	8-	C13:1(C8oD4)	416,205
C₁₃⋊₂(C₈○D₄) = D₅₂.C₄	φ: C₈○D₄/Q₈ → C₄ ⊆ Aut C₁₃	208	8+	C13:2(C8oD4)	416,207
C₁₃⋊₃(C₈○D₄) = D₅₂.₃C₄	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₁₃	208	2	C13:3(C8oD4)	416,122
C₁₃⋊₄(C₈○D₄) = D₅₂.₂C₄	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₁₃	208	4	C13:4(C8oD4)	416,128
C₁₃⋊₅(C₈○D₄) = D₄.Dic₁₃	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₁₃	208	4	C13:5(C8oD4)	416,169

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁