Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
342 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 113 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. #11763093 | C2 | semidirect |
| 3. #11763092 | C2 | semidirect |
| 6. #11763018 | C2 | semidirect |
| 7. #11763017 | C2 | semidirect |
| 134. C17 | #3255 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763361 | 2 |
| #11763093 | 2 |
| #11763092 | 2 |
| #11763067 | 2 |
| #11763065 | 2 |
| #11763018 | 2 |
| #11763017 | 2 |
| #11762832 | 2 |
| C17×#470 | 2 |
| #3255 | 17 |