Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | C22⋊C8×D263 |
| Fitting | C22⋊C8×C263 ⋊ C2 |
| Sylow | C263 ⋊ C2×C22⋊C8 |
202 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 202 conjugacy classes of subgroups — too many to draw. Only its 73 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 4208 |
2660 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #323×D263, #324×D263, #46781062, … |
| maximal normal subgroup of | #323×D263, #324×D263, #46781062, … |
| maximal quotient of | #323×D263, #324×D263, #46781058, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 508);