Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| isoclinism | isoclinic class of #6104 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#6105 |
| Sylow | C13 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
148 conjugacy classes — view the full character table.
| maximal subgroup of | #13115168, #13115170, #13115188, … |
| maximal normal subgroup of | #13115168, #13115170, #13115188, … |
| maximal quotient of | C22×#88072, C22×#88050, C22×#88048, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1465);