Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
322 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 117 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. #11763116 | C2 | semidirect |
| 3. #11763113 | C2 | semidirect |
| 6. #11763019 | C2 | semidirect |
| 7. #11763016 | C2 | semidirect |
| 129. C17 | #3261 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763421 | 2 |
| #11763116 | 2 |
| #11763113 | 2 |
| #11763065 | 2 |
| #11763048 | 2 |
| #11763019 | 2 |
| #11763016 | 2 |
| #11762836 | 2 |
| C17×#541 | 2 |
| #3261 | 17 |