Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
640 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 640 conjugacy classes of subgroups — too many to draw. Only its 131 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. #19134583 | C2 | semidirect |
| 3. #19133164 | C2 | semidirect |
| 4. #19132475 | C2 | semidirect |
| 5. C43×#2972 | C2 | semidirect |
| 9. #14582829 | C4 | semidirect |
| 10. #14582824 | C4 | semidirect |
| 11. #14582816 | C4 | semidirect |
| 12. #14582808 | C4 | semidirect |
| 63. C22⋊C8×C43 | D4 | semidirect |
| 210. #2972 | D43 | semidirect |
| 243. C43 | #9384 | semidirect |
| 276. C22⋊C8 | C22⋊D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19139551 | 2 |
| #19134583 | 2 |
| #19133164 | 2 |
| #19132475 | 2 |
| C43×#2972 | 2 |
| #9384 | 43 |