Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
166 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 65 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. #14557660 | C2 | semidirect |
| 4. #14557263 | C2 | semidirect |
| 6. C8×#64436 | C2 | semidirect |
| 7. C37×#334 | C2 | semidirect |
| 57. C8×C37 | M16 | semidirect |
| 60. #64436 | SD16 | semidirect |
| 81. #334 | D37 | semidirect |
| 85. C37 | #1590 | semidirect |
| 138. C8 | #10596929 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557660 | 2 |
| C4×#10596930 | 2 |
| #14557610 | 2 |
| #14557263 | 2 |
| #14557260 | 2 |
| C8×#64436 | 2 |
| C37×#334 | 2 |
| #1590 | 37 |