Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
356 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 103 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. C4×#66881 | C2 | semidirect |
| 3. #13066629 | C2 | semidirect |
| 5. C11×#2162 | C2 | semidirect |
| 13. C4×Dic44 | C4 | semidirect |
| 15. #10622309 | C4 | semidirect |
| 16. C4×D88 | C4 | semidirect |
| 18. #10622296 | C4 | semidirect |
| 94. #2162 | D11 | semidirect |
| 235. C11 | #11741 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079186 | 2 |
| C4×#66881 | 2 |
| #13066629 | 2 |
| #13066626 | 2 |
| C11×#2162 | 2 |
| #11741 | 11 |