Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
188 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 188 conjugacy classes of subgroups — too many to draw. Only its 57 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. #14557734 | C2 | semidirect |
| 3. C8×Dic74 | C2 | semidirect |
| 4. #14557276 | C2 | semidirect |
| 5. C37×#335 | C2 | semidirect |
| 44. Dic74 | D8 | semidirect |
| 47. C8×C37 | SD16 | semidirect |
| 68. #335 | D37 | semidirect |
| 70. C37 | #1668 | semidirect |
| 113. C8 | #10596930 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557910 | 2 |
| #14557734 | 2 |
| C8×Dic74 | 2 |
| #14557276 | 2 |
| C37×#335 | 2 |
| #1668 | 37 |