Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
700 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 700 conjugacy classes of subgroups — too many to draw. Only its 165 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×#11924566 | C2 | semidirect |
| 2. C22×#10596942 | C2 | semidirect |
| 3. #14558104 | C2 | semidirect |
| 4. #14557695 | C2 | semidirect |
| 5. #14557689 | C2 | semidirect |
| 6. #14557542 | C2 | semidirect |
| 7. #14557529 | C2 | semidirect |
| 8. #14557500 | C2 | semidirect |
| 150. C37 | #3011 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924566 | 2 |
| C22×#10596942 | 2 |
| #14558104 | 2 |
| #14557695 | 2 |
| #14557689 | 2 |
| #14557542 | 2 |
| #14557529 | 2 |
| #14557500 | 2 |
| C2×2−1+4×C37 | 2 |
| #3011 | 37 |