Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
416 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 416 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 |
|---|---|---|
| 3. #13067219 | C2 | semidirect |
| 4. #13066971 | C2 | semidirect |
| 5. #13066526 | C2 | semidirect |
| 6. #13066507 | C2 | semidirect |
| 312. C11 | #9351 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13078438 | 2 |
| #13077630 | 2 |
| #13067219 | 2 |
| #13066971 | 2 |
| #13066526 | 2 |
| #13066507 | 2 |
| C11×#1488 | 2 |
| #9351 | 11 |