Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
144 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 58 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. #14558592 | C2 | semidirect |
| 2. #14558591 | C2 | semidirect |
| 3. #14558456 | C2 | semidirect |
| 4. #14558432 | C2 | semidirect |
| 5. #14558431 | C2 | semidirect |
| 6. #14558421 | C2 | semidirect |
| 79. C37 | #2171 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558592 | 2 |
| #14558591 | 2 |
| #14558456 | 2 |
| #14558432 | 2 |
| #14558431 | 2 |
| #14558421 | 2 |
| #14557647 | 2 |
| #2171 | 37 |