Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
224 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 75 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×#11924471 | C2 | semidirect |
| 4. #14557491 | C2 | semidirect |
| 5. #14557293 | C2 | semidirect |
| 6. #14557288 | C2 | semidirect |
| 13. #11924460 | C4 | semidirect |
| 14. #11924460 | C4 | semidirect |
| 15. #11924457 | C4 | semidirect |
| 16. #11924457 | C4 | semidirect |
| 113. C37 | #1929 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924471 | 2 |
| #14557529 | 2 |
| #14557500 | 2 |
| #14557491 | 2 |
| #14557293 | 2 |
| #14557288 | 2 |
| C2×#104×C37 | 2 |
| #1929 | 37 |