Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14558253 | C2 | semidirect |
| 2. #14557883 | C2 | semidirect |
| 3. #14557871 | C2 | semidirect |
| 4. #14557813 | C2 | semidirect |
| 5. #14557772 | C2 | semidirect |
| 6. #14557740 | C2 | semidirect |
| 7. #14557695 | C2 | semidirect |
| 8. C4×#10596940 | C2 | semidirect |
| 9. D4×#64436 | C2 | semidirect |
| 10. #14557529 | C2 | semidirect |
| 137. C37 | #3302 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558253 | 2 |
| #14557883 | 2 |
| #14557871 | 2 |
| #14557813 | 2 |
| #14557772 | 2 |
| #14557740 | 2 |
| #14557695 | 2 |
| C4×#10596940 | 2 |
| D4×#64436 | 2 |
| #14557529 | 2 |
| C37×#547 | 2 |
| #3302 | 37 |