Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| isoclinism | isoclinic class of #6095 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic52 |
| Sylow | C13 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
220 conjugacy classes — view the full character table.
| maximal subgroup of | #13115176, #13115178, #13115695, … |
| maximal normal subgroup of | #13115176, #13115178, #13115695, … |
| maximal quotient of | C22×#88056, C22×#88058, C2×C4×Dic52, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1413);