Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
228 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 59 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. #14557884 | C2 | semidirect |
| 3. #14557829 | C2 | semidirect |
| 5. #14557280 | C2 | semidirect |
| 6. #14557265 | C2 | semidirect |
| 98. C37 | #1637 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×Dic74 | 2 |
| #14557884 | 2 |
| #14557829 | 2 |
| #14557823 | 2 |
| #14557280 | 2 |
| #14557265 | 2 |
| C37×D4⋊C8 | 2 |
| #1637 | 37 |