Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
492 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19137343 | C2 | semidirect |
| 3. #19133277 | C2 | semidirect |
| 5. #19132455 | C2 | semidirect |
| 6. #19132424 | C2 | semidirect |
| 9. #14583271 | C4 | semidirect |
| 10. #14583251 | C4 | semidirect |
| 97. C42×C43 | SD16 | semidirect |
| 209. C43 | #9301 | semidirect |
| 291. C42 | #10621883 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145517 | 2 |
| #19137343 | 2 |
| #19133277 | 2 |
| #19133155 | 2 |
| #19132455 | 2 |
| #19132424 | 2 |
| C43×#1963 | 2 |
| #9301 | 43 |