Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
2286 conjugacy classes of subgroups; only the 443 normal subgroups are shown.
This group has 2286 conjugacy classes of subgroups — too many to draw. Only its 443 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×#10622550 | C2 | semidirect |
| 3. #13066840 | C2 | semidirect |
| 5. C2×C11×#383 | C2 | semidirect |
| 12. C2×C42×D11 | C4 | semidirect |
| 67. C42×C11 | C22⋊C4 | semidirect |
| 72. C2×#383 | D11 | semidirect |
| 127. C2×D11 | #383 | semidirect |
| 188. C42 | (C2×D11)⋊C4 | semidirect |
| 189. C11 | #14683 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C42×D11 | 2 |
| C2×#10622550 | 2 |
| #13066840 | 2 |
| (C2×D11)⋊#95 | 2 |
| C2×C11×#383 | 2 |
| #14683 | 11 |