Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
290 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 1. #13070841 | C2 | semidirect |
| 2. #13070840 | C2 | semidirect |
| 3. #13070839 | C2 | semidirect |
| 5. #13068225 | C2 | semidirect |
| 6. #13066532 | C2 | semidirect |
| 7. C11×#2240 | C2 | semidirect |
| 73. #2240 | D11 | semidirect |
| 177. C11 | #12513 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070841 | 2 |
| #13070840 | 2 |
| #13070839 | 2 |
| #13068230 | 2 |
| #13068225 | 2 |
| #13066532 | 2 |
| C11×#2240 | 2 |
| #12513 | 11 |