Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
324 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 68 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 |
|---|---|---|
| 2. #14558544 | C2 | semidirect |
| 4. #14558405 | C2 | semidirect |
| 17. #11924453 | C4 | semidirect |
| 18. #11924452 | C4 | semidirect |
| 19. #100×C37 | C4 | semidirect |
| 39. M16×C37 | C2×C4 | semidirect |
| 40. #10596934 | C2×C4 | semidirect |
| 99. C37 | #1856 | semidirect |
| 113. #100 | #3866 | semidirect |
| 127. M16 | C2×#3866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558600 | 2 |
| #14558544 | 2 |
| #14558485 | 2 |
| #14558405 | 2 |
| #100×D37 | 2 |
| #1856 | 37 |