Extensions 1→N→G→Q→1 with N=C₈ and Q=C₅₂

Direct product G=N×Q with N=C₈ and Q=C₅₂

		d	ρ	Label	ID
C₄×C₁₀₄		416		C4xC104	416,46

Semidirect products G=N:Q with N=C₈ and Q=C₅₂

extension	φ:Q→Aut N	d	Label	ID
C₈⋊₁C₅₂ = C₁₃×C₂.D₈	φ: C₅₂/C₂₆ → C₂ ⊆ Aut C₈	416	C8:1C52	416,57
C₈⋊₂C₅₂ = C₁₃×C₄.Q₈	φ: C₅₂/C₂₆ → C₂ ⊆ Aut C₈	416	C8:2C52	416,56
C₈⋊₃C₅₂ = C₁₃×C₈⋊C₄	φ: C₅₂/C₂₆ → C₂ ⊆ Aut C₈	416	C8:3C52	416,47

Non-split extensions G=N.Q with N=C₈ and Q=C₅₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁C₅₂ = C₁₃×C₈.C₄	φ: C₅₂/C₂₆ → C₂ ⊆ Aut C₈	208	2	C8.1C52	416,58
C₈.₂C₅₂ = C₁₃×M₅(2)	φ: C₅₂/C₂₆ → C₂ ⊆ Aut C₈	208	2	C8.2C52	416,60

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C8 and Q=C52