Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
350 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 2. D11×C4⋊C16 | C2 | semidirect |
| 3. #13067378 | C2 | semidirect |
| 4. #13066674 | C2 | semidirect |
| 5. #13066663 | C2 | semidirect |
| 6. #13066661 | C2 | semidirect |
| 7. C11×#1365 | C2 | semidirect |
| 90. #1365 | D11 | semidirect |
| 220. C11 | #11982 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079196 | 2 |
| D11×C4⋊C16 | 2 |
| #13067378 | 2 |
| #13066674 | 2 |
| #13066663 | 2 |
| #13066661 | 2 |
| C11×#1365 | 2 |
| #11982 | 11 |