Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
470 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19143680 | C2 | semidirect |
| 5. #19132492 | C2 | semidirect |
| 6. #19132453 | C2 | semidirect |
| 7. C43×#1805 | C2 | semidirect |
| 11. #14583109 | C4 | semidirect |
| 12. #14583099 | C4 | semidirect |
| 180. #1805 | D43 | semidirect |
| 210. C43 | #9310 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144067 | 2 |
| #19143680 | 2 |
| #19133154 | 2 |
| #19132993 | 2 |
| #19132492 | 2 |
| #19132453 | 2 |
| C43×#1805 | 2 |
| #9310 | 43 |