Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
434 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 3. #19134643 | C2 | semidirect |
| 4. #19134639 | C2 | semidirect |
| 5. #19132725 | C2 | semidirect |
| 6. #19132723 | C2 | semidirect |
| 9. C23×C43⋊C8 | C4 | semidirect |
| 16. #14582926 | C4 | semidirect |
| 20. #14582863 | C4 | semidirect |
| 21. #14582855 | C4 | semidirect |
| 238. C43 | #12805 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143290 | 2 |
| #19136236 | 2 |
| #19134643 | 2 |
| #19134639 | 2 |
| #19132725 | 2 |
| #19132723 | 2 |
| C43×#2120 | 2 |
| #12805 | 43 |