Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
174 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 49 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×#11924477 | C2 | semidirect |
| 2. C2×C16×D37 | C2 | semidirect |
| 3. #14557770 | C2 | semidirect |
| 4. #14557766 | C2 | semidirect |
| 5. #14557358 | C2 | semidirect |
| 6. #14557335 | C2 | semidirect |
| 7. C37×#357 | C2 | semidirect |
| 39. #10596925 | D4 | semidirect |
| 67. C2×D37 | D16 | semidirect |
| 86. #357 | D37 | semidirect |
| 87. C37 | #2215 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924477 | 2 |
| C2×C16×D37 | 2 |
| #14557770 | 2 |
| #14557766 | 2 |
| #14557358 | 2 |
| #14557335 | 2 |
| C37×#357 | 2 |
| #2215 | 37 |