Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
250 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 250 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 |
|---|---|---|
| 3. #13066685 | C2 | semidirect |
| 4. #13066680 | C2 | semidirect |
| 5. C11×#1367 | C2 | semidirect |
| 65. #1367 | D11 | semidirect |
| 158. C11 | #12013 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070418 | 2 |
| C82×D11 | 2 |
| #13066685 | 2 |
| #13066680 | 2 |
| C11×#1367 | 2 |
| #12013 | 11 |