Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
530 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19137408 | C2 | semidirect |
| 3. #19133192 | C2 | semidirect |
| 4. #19133142 | C2 | semidirect |
| 5. #19132460 | C2 | semidirect |
| 6. #19132451 | C2 | semidirect |
| 7. C43×#1980 | C2 | semidirect |
| 9. #14583286 | C4 | semidirect |
| 10. #14583261 | C4 | semidirect |
| 54. #13063236 | C2×C4 | semidirect |
| 63. C4⋊Q8×C43 | C2×C4 | semidirect |
| 64. #127×C43 | C2×C4 | semidirect |
| 217. #1980 | D43 | semidirect |
| 252. C43 | #9381 | semidirect |
| 260. C4⋊Q8 | C4×D43 | semidirect |
| 261. #127 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145578 | 2 |
| #19137408 | 2 |
| #19133192 | 2 |
| #19133142 | 2 |
| #19132460 | 2 |
| #19132451 | 2 |
| C43×#1980 | 2 |
| #9381 | 43 |