Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
544 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 83 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. C4×#13063240 | C2 | semidirect |
| 3. #19132596 | C2 | semidirect |
| 4. #19132593 | C2 | semidirect |
| 5. C43×#1465 | C2 | semidirect |
| 7. C2×C4×D172 | C4 | semidirect |
| 9. #14582824 | C4 | semidirect |
| 11. #14582808 | C4 | semidirect |
| 15. #14582765 | C4 | semidirect |
| 196. #1465 | D43 | semidirect |
| 224. C43 | #11774 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19139492 | 2 |
| C4×#13063240 | 2 |
| #19132596 | 2 |
| #19132593 | 2 |
| C43×#1465 | 2 |
| #11774 | 43 |