Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
402 conjugacy classes of subgroups; only the 158 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 158 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. #14558558 | C2 | semidirect |
| 2. #14558554 | C2 | semidirect |
| 3. #14558550 | C2 | semidirect |
| 4. #14558540 | C2 | semidirect |
| 7. #14558498 | C2 | semidirect |
| 11. #11924603 | C22 | semidirect |
| 12. C4⋊#64438 | C22 | semidirect |
| 18. #11924591 | C22 | semidirect |
| 19. C4×#64438 | C22 | semidirect |
| 119. C37 | #2924 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558558 | 2 |
| #14558554 | 2 |
| #14558550 | 2 |
| #14558540 | 2 |
| #14558504 | 2 |
| D37⋊(C22⋊C8) | 2 |
| #14558498 | 2 |
| C2×#11924494 | 2 |
| #2924 | 37 |