Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
530 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19135513 | C2 | semidirect |
| 3. #19133193 | C2 | semidirect |
| 4. #19133141 | C2 | semidirect |
| 5. #19132459 | C2 | semidirect |
| 6. #19132451 | C2 | semidirect |
| 7. C43×#2337 | C2 | semidirect |
| 9. #14583289 | C4 | semidirect |
| 10. #14583258 | C4 | semidirect |
| 35. #13063325 | C2×C4 | semidirect |
| 36. #13063322 | C2×C4 | semidirect |
| 52. #13063236 | C2×C4 | semidirect |
| 216. #2337 | D43 | semidirect |
| 252. C43 | #9381 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145582 | 2 |
| #19135513 | 2 |
| #19133193 | 2 |
| #19133141 | 2 |
| #19132459 | 2 |
| #19132451 | 2 |
| C43×#2337 | 2 |
| #9381 | 43 |