Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
564 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 137 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×#11924557 | C2 | semidirect |
| 2. C2×#11924555 | C2 | semidirect |
| 3. #14558082 | C2 | semidirect |
| 4. #14558081 | C2 | semidirect |
| 5. #14557928 | C2 | semidirect |
| 6. #14557927 | C2 | semidirect |
| 7. #14557924 | C2 | semidirect |
| 8. #14557921 | C2 | semidirect |
| 9. #14557920 | C2 | semidirect |
| 10. #97×D37 | C2 | semidirect |
| 11. C37×#496 | C2 | semidirect |
| 79. C8×D37 | D4 | semidirect |
| 143. #496 | D37 | semidirect |
| 145. C37 | #3150 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924557 | 2 |
| C2×#11924555 | 2 |
| #14558082 | 2 |
| #14558081 | 2 |
| #14557928 | 2 |
| #14557927 | 2 |
| #14557924 | 2 |
| #14557921 | 2 |
| #14557920 | 2 |
| #97×D37 | 2 |
| C37×#496 | 2 |
| #3150 | 37 |