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. #19136330 | C2 | semidirect |
| 4. C2×#14582709 | C2 | semidirect |
| 5. #19132700 | C2 | semidirect |
| 6. #19132681 | C2 | semidirect |
| 7. C43×#1976 | C2 | semidirect |
| 10. #14583340 | C4 | semidirect |
| 12. #14583335 | C4 | semidirect |
| 50. #13063265 | C2×C4 | semidirect |
| 62. C2×Q16×C43 | C2×C4 | semidirect |
| 64. C2×D8×C43 | C2×C4 | semidirect |
| 188. #1976 | D43 | semidirect |
| 218. C43 | #13030 | semidirect |
| 230. C2×Q16 | C4×D43 | semidirect |
| 234. C2×D8 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147729 | 2 |
| #19143480 | 2 |
| #19136330 | 2 |
| C2×#14582709 | 2 |
| #19132700 | 2 |
| #19132681 | 2 |
| C43×#1976 | 2 |
| #13030 | 43 |