Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
294 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 4. #13066668 | C2 | semidirect |
| 5. #13066598 | C2 | semidirect |
| 6. #13066586 | C2 | semidirect |
| 7. C11×#3390 | C2 | semidirect |
| 69. C11×Q16 | SD16 | semidirect |
| 98. #3390 | D11 | semidirect |
| 207. Q16 | #4325 | semidirect |
| 236. C11 | #12361 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070859 | 2 |
| #13070656 | 2 |
| #13068100 | 2 |
| #13066668 | 2 |
| #13066598 | 2 |
| #13066586 | 2 |
| C11×#3390 | 2 |
| #12361 | 11 |