Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C13×H(5,𝔽2) ⋊ C2 |
| Sylow | C13 ⋊ #453 |
168 conjugacy classes of subgroups.
| transitive degree | μt(G) = 104 |
Polycyclic presentation:
2^6,13|e^2=f,b^a=be,c^a=cd,e^a=ef,g^a=g^12,d^b=df,e^b=ef,e^c=ef118 conjugacy classes — view the full character table.
| maximal subgroup of | #13116818, #13116830, #13116840, … |
| maximal normal subgroup of | #13116818, #13116830, #13116840, … |
| maximal quotient of | #13113754, #13113759, #13113782, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 868);