Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
362 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 133 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. #14557843 | C2 | semidirect |
| 4. #14557839 | C2 | semidirect |
| 5. #14557827 | C2 | semidirect |
| 6. #14557817 | C2 | semidirect |
| 47. C2×Dic74 | Q8 | semidirect |
| 128. C37 | #3082 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558164 | 2 |
| #14558010 | 2 |
| #14557843 | 2 |
| #14557839 | 2 |
| #14557827 | 2 |
| #14557817 | 2 |
| #14557569 | 2 |
| #14557561 | 2 |
| #14557543 | 2 |
| C2×#11924459 | 2 |
| C37×#428 | 2 |
| #3082 | 37 |