Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
1854 conjugacy classes of subgroups; only the 331 normal subgroups are shown.
This group has 1854 conjugacy classes of subgroups — too many to draw. Only its 331 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×#10622263 | C2 | semidirect |
| 3. #13066887 | C2 | semidirect |
| 4. #13066860 | C2 | semidirect |
| 6. C11×#1446 | C2 | semidirect |
| 10. C2×#67000 | C4 | semidirect |
| 87. C4×Dic11 | C22⋊C4 | semidirect |
| 91. #1446 | D11 | semidirect |
| 239. C11 | #14662 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67000 | 2 |
| C2×#10622263 | 2 |
| #13066887 | 2 |
| #13066860 | 2 |
| #13066856 | 2 |
| C11×#1446 | 2 |
| #14662 | 11 |