Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
548 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 105 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. #19137570 | C2 | semidirect |
| 3. #19133154 | C2 | semidirect |
| 4. #19133091 | C2 | semidirect |
| 5. #19132985 | C2 | semidirect |
| 6. #19132496 | C2 | semidirect |
| 7. C43×#1286 | C2 | semidirect |
| 12. #14583105 | C4 | semidirect |
| 13. #14583095 | C4 | semidirect |
| 209. #1286 | D43 | semidirect |
| 238. C43 | #9181 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144061 | 2 |
| #19137570 | 2 |
| #19133154 | 2 |
| #19133091 | 2 |
| #19132985 | 2 |
| #19132496 | 2 |
| C43×#1286 | 2 |
| #9181 | 43 |