Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
150 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 60 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 |
|---|---|---|
| 3. #11763673 | C2 | semidirect |
| 4. #11763672 | C2 | semidirect |
| 5. #11763671 | C2 | semidirect |
| 6. #11763670 | C2 | semidirect |
| 97. C17 | #1572 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763831 | 2 |
| #11763828 | 2 |
| #11763673 | 2 |
| #11763672 | 2 |
| #11763671 | 2 |
| #11763670 | 2 |
| #11762861 | 2 |
| #1572 | 17 |