Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
498 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 105 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. #19143448 | C2 | semidirect |
| 3. #19136332 | C2 | semidirect |
| 4. #19136312 | C2 | semidirect |
| 5. #19135493 | C2 | semidirect |
| 6. #19132697 | C2 | semidirect |
| 7. C43×#1378 | C2 | semidirect |
| 13. C2×#13063270 | C4 | semidirect |
| 14. C2×D688 | C4 | semidirect |
| 33. C2×Dic172 | C2×C4 | semidirect |
| 39. C2×D344 | C2×C4 | semidirect |
| 64. C2×C16×C43 | C2×C4 | semidirect |
| 174. #1378 | D43 | semidirect |
| 200. C43 | #13033 | semidirect |
| 231. C2×C16 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583337 | 2 |
| #19143448 | 2 |
| #19136332 | 2 |
| #19136312 | 2 |
| #19135493 | 2 |
| #19132697 | 2 |
| C43×#1378 | 2 |
| #13033 | 43 |