Finite Group DatabasebetaFinite Group DatabasebetaOrder 2176.
216 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 216 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. #11763831 | C2 | semidirect |
| 2. C4×#63243 | C2 | semidirect |
| 3. #11763666 | C2 | semidirect |
| 4. #11763665 | C2 | semidirect |
| 113. C17 | #1529 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11763831 | 2 |
| C4×#63243 | 2 |
| #11763666 | 2 |
| #11763665 | 2 |
| #11763346 | 2 |
| #1529 | 17 |