Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
476 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 115 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×#14582711 | C2 | semidirect |
| 3. #19136323 | C2 | semidirect |
| 4. #19135505 | C2 | semidirect |
| 5. #19132698 | C2 | semidirect |
| 6. #19132681 | C2 | semidirect |
| 7. C43×#2957 | C2 | semidirect |
| 11. C2×#13063268 | C4 | semidirect |
| 12. C2×#13063266 | C4 | semidirect |
| 166. #2957 | D43 | semidirect |
| 197. C43 | #13036 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583334 | 2 |
| C2×#14582711 | 2 |
| #19136323 | 2 |
| #19135505 | 2 |
| #19132698 | 2 |
| #19132681 | 2 |
| C43×#2957 | 2 |
| #13036 | 43 |