Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D4×Dic526 |
| Sylow | C263 ⋊ D4×Q8 |
280 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 123 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 8416 |
2645 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46781849, #46781853, #46781911, … |
| maximal normal subgroup of | #46781849, #46781853, #46781911, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 1215);