Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
632 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 632 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19137320 | C2 | semidirect |
| 3. #19135427 | C2 | semidirect |
| 4. #19133262 | C2 | semidirect |
| 5. #19133156 | C2 | semidirect |
| 6. #19132454 | C2 | semidirect |
| 7. C43×#1274 | C2 | semidirect |
| 11. #14583276 | C4 | semidirect |
| 12. #14583246 | C4 | semidirect |
| 34. #13063325 | C2×C4 | semidirect |
| 38. #13063322 | C2×C4 | semidirect |
| 66. C4×C8×C43 | C2×C4 | semidirect |
| 106. C42×C43 | D8 | semidirect |
| 211. #1274 | D43 | semidirect |
| 238. C43 | #9299 | semidirect |
| 276. C4×C8 | C4×D43 | semidirect |
| 331. C42 | D344 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145515 | 2 |
| #19137320 | 2 |
| #19135427 | 2 |
| #19133262 | 2 |
| #19133156 | 2 |
| #19132454 | 2 |
| C43×#1274 | 2 |
| #9299 | 43 |