Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
376 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 141 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. #14558164 | C2 | semidirect |
| 3. #14557838 | C2 | semidirect |
| 4. #14557835 | C2 | semidirect |
| 5. #14557826 | C2 | semidirect |
| 6. #14557811 | C2 | semidirect |
| 7. #14557575 | C2 | semidirect |
| 8. C2×#11924469 | C2 | semidirect |
| 9. #14557561 | C2 | semidirect |
| 42. #41×C37 | Q8 | semidirect |
| 135. C37 | #3083 | semidirect |
| 166. #41 | Dic74 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558164 | 2 |
| #14558016 | 2 |
| #14557838 | 2 |
| #14557835 | 2 |
| #14557826 | 2 |
| #14557811 | 2 |
| #14557575 | 2 |
| C2×#11924469 | 2 |
| #14557561 | 2 |
| #14557529 | 2 |
| C37×#417 | 2 |
| #3083 | 37 |