Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
364 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13070237 | C2 | semidirect |
| 3. #13066566 | C2 | semidirect |
| 4. #13066553 | C2 | semidirect |
| 5. C11×#2115 | C2 | semidirect |
| 114. #2115 | D11 | semidirect |
| 282. C11 | #11486 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13077332 | 2 |
| #13070237 | 2 |
| #13066566 | 2 |
| #13066553 | 2 |
| C11×#2115 | 2 |
| #11486 | 11 |