Finite Group DatabasebetaFinite Group DatabasebetaOrder 29824.
102 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 102 conjugacy classes of subgroups — too many to draw. Only its 39 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #28416186 | C2 | semidirect |
| 3. C4⋊C16×C233 | C2 | semidirect |
| 50. C233 | #1360 | semidirect |
| 53. C4⋊C16 | D233 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #28416819 | 2 |
| #28416186 | 2 |
| C4⋊C16×C233 | 2 |
| #1360 | 233 |