Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
166 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 57 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. #14557931 | C2 | semidirect |
| 5. #14557281 | C2 | semidirect |
| 6. #14557280 | C2 | semidirect |
| 7. C37×#334 | C2 | semidirect |
| 58. C8×C37 | SD16 | semidirect |
| 81. #334 | D37 | semidirect |
| 84. C37 | #1671 | semidirect |
| 136. C8 | #10596930 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557931 | 2 |
| #14557824 | 2 |
| #14557739 | 2 |
| C8×D148 | 2 |
| #14557281 | 2 |
| #14557280 | 2 |
| C37×#334 | 2 |
| #1671 | 37 |