Finite Group DatabasebetaFinite Group DatabasebetaOrder 4672.
106 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 106 conjugacy classes of subgroups — too many to draw. Only its 37 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 |
|---|---|---|
| 2. #14556549 | C2 | semidirect |
| 3. #14556524 | C2 | semidirect |
| 4. #14556513 | C2 | semidirect |
| 5. #14556511 | C2 | semidirect |
| 6. #14556503 | C2 | semidirect |
| 7. #106×C73 | C2 | semidirect |
| 51. C73 | #482 | semidirect |
| 56. #106 | D73 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14556566 | 2 |
| #14556549 | 2 |
| #14556524 | 2 |
| #14556513 | 2 |
| #14556511 | 2 |
| #14556503 | 2 |
| #106×C73 | 2 |
| #482 | 73 |