Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
182 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 53 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. #14557905 | C2 | semidirect |
| 2. #14557813 | C2 | semidirect |
| 3. #14557611 | C2 | semidirect |
| 4. #14557285 | C2 | semidirect |
| 5. #14557278 | C2 | semidirect |
| 6. #14557277 | C2 | semidirect |
| 65. #64436 | D8 | semidirect |
| 93. C37 | #1685 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557905 | 2 |
| #14557813 | 2 |
| #14557611 | 2 |
| #14557285 | 2 |
| #14557278 | 2 |
| #14557277 | 2 |
| C37×#459 | 2 |
| #1685 | 37 |