Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
302 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 83 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. C2×#10622085 | C2 | semidirect |
| 3. D11×#366 | C2 | semidirect |
| 4. #13066798 | C2 | semidirect |
| 5. #13066796 | C2 | semidirect |
| 6. #13066794 | C2 | semidirect |
| 7. C11×#1415 | C2 | semidirect |
| 12. #10622525 | C4 | semidirect |
| 31. C11×D16 | C2×C4 | semidirect |
| 39. Dic88 | C2×C4 | semidirect |
| 74. #1415 | D11 | semidirect |
| 133. D16 | C4×D11 | semidirect |
| 171. C11 | #13616 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622525 | 2 |
| C2×#10622085 | 2 |
| D11×#366 | 2 |
| #13066798 | 2 |
| #13066796 | 2 |
| #13066794 | 2 |
| C11×#1415 | 2 |
| #13616 | 11 |