Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
510 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 510 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. C22×D296 | C2 | semidirect |
| 2. C22×#10596939 | C2 | semidirect |
| 3. C2×#11924532 | C2 | semidirect |
| 4. C2×#11924456 | C2 | semidirect |
| 5. #14557434 | C2 | semidirect |
| 6. #14557287 | C2 | semidirect |
| 7. C2×#102×C37 | C2 | semidirect |
| 53. C2×D148 | D4 | semidirect |
| 56. C2×C8×C37 | D4 | semidirect |
| 65. C2×#64436 | D4 | semidirect |
| 98. C2×Dic37 | D8 | semidirect |
| 148. C2×#102 | D37 | semidirect |
| 151. C37 | #2011 | semidirect |
| 205. C2×C8 | C22⋊D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D296 | 2 |
| C22×#10596939 | 2 |
| C2×#11924532 | 2 |
| C2×#11924456 | 2 |
| #14557434 | 2 |
| #14557287 | 2 |
| C2×#102×C37 | 2 |
| #2011 | 37 |