Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
442 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 91 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. #364×D43 | C2 | semidirect |
| 3. #19132636 | C2 | semidirect |
| 4. #19132635 | C2 | semidirect |
| 5. C43×#1359 | C2 | semidirect |
| 15. #14582720 | C22 | semidirect |
| 18. C43×#364 | C22 | semidirect |
| 139. #1359 | D43 | direct (N × H) |
| 145. D43 | #1359 | direct (N × H) |
| 158. #364 | C2×D43 | semidirect |
| 159. C43 | C2×#1359 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #492×D43 | 2 |
| #364×D43 | 2 |
| #19132636 | 2 |
| #19132635 | 2 |
| C43×#1359 | 2 |
| C2×#1359 | 43 |