Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
476 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 476 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. #19143480 | C2 | semidirect |
| 3. #19136332 | C2 | semidirect |
| 4. C2×#14582710 | C2 | semidirect |
| 5. #19135493 | C2 | semidirect |
| 6. #19132701 | C2 | semidirect |
| 7. C43×#1378 | C2 | semidirect |
| 12. #14583342 | C4 | semidirect |
| 14. #14583337 | C4 | semidirect |
| 39. C2×Dic172 | C2×C4 | semidirect |
| 43. C2×D344 | C2×C4 | semidirect |
| 70. M32×C43 | C2×C4 | semidirect |
| 190. #1378 | D43 | semidirect |
| 218. C43 | #13030 | semidirect |
| 252. M32 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147731 | 2 |
| #19143480 | 2 |
| #19136332 | 2 |
| C2×#14582710 | 2 |
| #19135493 | 2 |
| #19132701 | 2 |
| C43×#1378 | 2 |
| #13030 | 43 |