Extensions 1→N→G→Q→1 with N=C₁₃ and Q=M₅(2)

Direct product G=N×Q with N=C₁₃ and Q=M₅(2)

		d	ρ	Label	ID
C₁₃×M₅(2)		208	2	C13xM5(2)	416,60

Semidirect products G=N:Q with N=C₁₃ and Q=M₅(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊₁M₅(2) = D₂₆.C₈	φ: M₅(2)/C₈ → C₄ ⊆ Aut C₁₃	208	4	C13:1M5(2)	416,65
C₁₃⋊₂M₅(2) = C₅₂.C₈	φ: M₅(2)/C₂×C₄ → C₄ ⊆ Aut C₁₃	208	4	C13:2M5(2)	416,73
C₁₃⋊₃M₅(2) = C₂₀₈⋊C₂	φ: M₅(2)/C₁₆ → C₂ ⊆ Aut C₁₃	208	2	C13:3M5(2)	416,5
C₁₃⋊₄M₅(2) = C₅₂.₄C₈	φ: M₅(2)/C₂×C₈ → C₂ ⊆ Aut C₁₃	208	2	C13:4M5(2)	416,19

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁