Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
310 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 93 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. #14558300 | C2 | semidirect |
| 2. #14557550 | C2 | semidirect |
| 3. #14557529 | C2 | semidirect |
| 4. #14557500 | C2 | semidirect |
| 5. #14557305 | C2 | semidirect |
| 6. #14557297 | C2 | semidirect |
| 22. #137×C37 | C4 | semidirect |
| 24. AGL(1,ℤ/8)×C37 | C4 | semidirect |
| 126. C37 | #1881 | semidirect |
| 130. #137 | Dic37 | semidirect |
| 132. AGL(1,ℤ/8) | Dic37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558300 | 2 |
| #14557550 | 2 |
| #14557529 | 2 |
| #14557500 | 2 |
| #14557305 | 2 |
| #14557297 | 2 |
| C37×#575 | 2 |
| #1881 | 37 |