Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
566 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 566 conjugacy classes of subgroups — too many to draw. Only its 155 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 |
|---|---|---|
| 3. #13066527 | C2 | semidirect |
| 4. #13066526 | C2 | semidirect |
| 5. C11×#1307 | C2 | semidirect |
| 90. #1307 | D11 | semidirect |
| 224. C11 | #8119 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13077246 | 2 |
| D11×#423 | 2 |
| #13066527 | 2 |
| #13066526 | 2 |
| C11×#1307 | 2 |
| #8119 | 11 |