Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C23×Dic526 |
| Sylow | C263 ⋊ C23×Q8 |
850 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16832 |
4232 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46781017, #46782670, #46782681, … |
| maximal normal subgroup of | #46781017, #46782670, #46782681, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 1373);