Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
484 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 145 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. C2×#11924566 | C2 | semidirect |
| 2. C2×C4×Dic74 | C2 | semidirect |
| 3. #14557752 | C2 | semidirect |
| 4. #14557740 | C2 | semidirect |
| 5. #14557730 | C2 | semidirect |
| 6. #14557557 | C2 | semidirect |
| 7. #14557534 | C2 | semidirect |
| 49. C2×Dic74 | D4 | semidirect |
| 110. C4×C37 | #137 | semidirect |
| 129. C37 | #3037 | semidirect |
| 233. C4 | #11924566 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924566 | 2 |
| C2×C4×Dic74 | 2 |
| #14557752 | 2 |
| #14557740 | 2 |
| #14557730 | 2 |
| #14557557 | 2 |
| #14557534 | 2 |
| C37×#532 | 2 |
| #3037 | 37 |