Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
420 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 59 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. #355×D43 | C2 | semidirect |
| 3. #354×D43 | C2 | semidirect |
| 4. #19132755 | C2 | semidirect |
| 5. #19132753 | C2 | semidirect |
| 6. #19132751 | C2 | semidirect |
| 7. C43×#1407 | C2 | semidirect |
| 10. #14583450 | C4 | semidirect |
| 12. #14583291 | C4 | semidirect |
| 14. #14583288 | C4 | semidirect |
| 19. #14582851 | C4 | semidirect |
| 42. #13063322 | C2×C4 | semidirect |
| 57. #13063236 | C2×C4 | semidirect |
| 61. C4⋊Q8×C43 | C2×C4 | semidirect |
| 65. #97×C43 | C2×C4 | semidirect |
| 185. #1407 | D43 | semidirect |
| 214. C43 | #13578 | semidirect |
| 232. C4⋊Q8 | C4×D43 | semidirect |
| 252. #97 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145058 | 2 |
| #355×D43 | 2 |
| #354×D43 | 2 |
| #19132755 | 2 |
| #19132753 | 2 |
| #19132751 | 2 |
| C43×#1407 | 2 |
| #13578 | 43 |