Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#16862365 |
| Fitting | C22×C8×C263 ⋊ C2 |
| Sylow | C263 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8416 |
4220 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46783080, #46783082, #46783101, … |
| maximal normal subgroup of | #46783080, #46783082, #46783101, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 1323);