Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C13 ⋊ #501 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^6,13|a^2=d,b^2=e,c^2=d,e^2=f,b^a=bf,c^a=cd,g^a=g^12,c^b=ce,e^c=ef100 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#501, C2×#11718537, #13125357, … |
| maximal normal subgroup of | D13×#501, C2×#11718537, #13125357, … |
| maximal quotient of | #13115003, #13115573, #13115575, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 503);