Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| isoclinism | isoclinic class of Dic26 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#6099 |
| Sylow | C13 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
232 conjugacy classes — view the full character table.
| maximal subgroup of | #13114529, #13114530, #13114532, … |
| maximal normal subgroup of | #13114529, #13114530, #13114532, … |
| maximal quotient of | C22×#88043, C2×C4×#6099, C22×C22⋊#1055, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1452);