Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
544 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 1. #19144544 | C2 | semidirect |
| 4. #19134670 | C2 | semidirect |
| 5. #19133129 | C2 | semidirect |
| 7. C43×#1306 | C2 | semidirect |
| 212. #1306 | D43 | semidirect |
| 245. C43 | #9984 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144544 | 2 |
| #19144536 | 2 |
| #19142625 | 2 |
| #19134670 | 2 |
| #19133129 | 2 |
| #19133125 | 2 |
| C43×#1306 | 2 |
| #9984 | 43 |