Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
168 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 55 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. #14557819 | C2 | semidirect |
| 4. #14557663 | C2 | semidirect |
| 5. #14557278 | C2 | semidirect |
| 7. C37×#335 | C2 | semidirect |
| 61. C8×C37 | SD16 | semidirect |
| 84. #335 | D37 | semidirect |
| 87. C37 | #1686 | semidirect |
| 142. C8 | #10596930 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557906 | 2 |
| #14557819 | 2 |
| #14557734 | 2 |
| #14557663 | 2 |
| #14557278 | 2 |
| #14557276 | 2 |
| C37×#335 | 2 |
| #1686 | 37 |