Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
384 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 384 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. C2×#11924527 | C2 | semidirect |
| 3. #14557842 | C2 | semidirect |
| 4. #14557838 | C2 | semidirect |
| 5. #14557835 | C2 | semidirect |
| 6. #14557831 | C2 | semidirect |
| 7. #14557575 | C2 | semidirect |
| 8. #14557573 | C2 | semidirect |
| 9. #14557556 | C2 | semidirect |
| 147. C37 | #3080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924527 | 2 |
| #41×Dic37 | 2 |
| #14557842 | 2 |
| #14557838 | 2 |
| #14557835 | 2 |
| #14557831 | 2 |
| #14557575 | 2 |
| #14557573 | 2 |
| #14557556 | 2 |
| #14557534 | 2 |
| C37×#417 | 2 |
| #3080 | 37 |