Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
194 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 194 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 |
|---|---|---|
| 3. #14557275 | C2 | semidirect |
| 4. #14557274 | C2 | semidirect |
| 5. C37×#330 | C2 | semidirect |
| 61. #330 | D37 | semidirect |
| 62. C37 | #1537 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558089 | 2 |
| #14557588 | 2 |
| #14557275 | 2 |
| #14557274 | 2 |
| C37×#330 | 2 |
| #1537 | 37 |