Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
850 conjugacy classes of subgroups; only the 167 normal subgroups are shown.
This group has 850 conjugacy classes of subgroups — too many to draw. Only its 167 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. #13068469 | C2 | semidirect |
| 3. C2×#10622123 | C2 | semidirect |
| 4. C11×#1831 | C2 | semidirect |
| 38. C4⋊(C11⋊C8) | D4 | semidirect |
| 75. #1831 | D11 | semidirect |
| 199. C11 | #9706 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13077011 | 2 |
| #13068469 | 2 |
| C2×#10622123 | 2 |
| C11×#1831 | 2 |
| #9706 | 11 |