Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
166 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 166 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 |
|---|---|---|
| 1. #14557913 | C2 | semidirect |
| 4. #14557278 | C2 | semidirect |
| 5. C37×#334 | C2 | semidirect |
| 65. #334 | D37 | semidirect |
| 67. C37 | #1689 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557913 | 2 |
| #14557814 | 2 |
| #14557612 | 2 |
| #14557278 | 2 |
| C37×#334 | 2 |
| #1689 | 37 |