Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| isoclinism | isoclinic class of #6104 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C22×#6104 |
| Fitting | C22×D4×C13 ⋊ C2 |
| Sylow | C13 ⋊ C22×D8 |
338 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
148 conjugacy classes — view the full character table.
| maximal subgroup of | #13115181, #13115182, #13115184, … |
| maximal normal subgroup of | #13115181, #13115182, #13115184, … |
| maximal quotient of | C22×#88049, C22×#88072, C22×#88047, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1463);