Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
484 conjugacy classes of subgroups; only the 202 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 202 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 |
|---|---|---|
| 3. #14558540 | C2 | semidirect |
| 4. #14558539 | C2 | semidirect |
| 5. #14558538 | C2 | semidirect |
| 6. #14558537 | C2 | semidirect |
| 17. #11924603 | C22 | semidirect |
| 18. C4⋊#64438 | C22 | semidirect |
| 109. C37 | #2905 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10596953 | 2 |
| C2×D37⋊M16 | 2 |
| #14558540 | 2 |
| #14558539 | 2 |
| #14558538 | 2 |
| #14558537 | 2 |
| #117×D37 | 2 |
| #2905 | 37 |