Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
154 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 45 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. #14557973 | C2 | semidirect |
| 2. #14557916 | C2 | semidirect |
| 3. #14557650 | C2 | semidirect |
| 4. #14557353 | C2 | semidirect |
| 5. #14557350 | C2 | semidirect |
| 6. #14557346 | C2 | semidirect |
| 82. C37 | #2212 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557973 | 2 |
| #14557916 | 2 |
| #14557650 | 2 |
| #14557353 | 2 |
| #14557350 | 2 |
| #14557346 | 2 |
| C37×#509 | 2 |
| #2212 | 37 |