Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| isoclinism | isoclinic class of Dic26 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#88038 |
| Fitting | C2×C13×C16 ⋊ C2 |
| Sylow | C13 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
232 conjugacy classes — view the full character table.
| maximal subgroup of | #13112975, C4×#88038, #13116429, … |
| maximal normal subgroup of | #13112975, C4×#88038, #13116429, … |
| maximal quotient of | C2×#11718094, C4×#88038, C2×#11718099, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 527);