Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
946 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 946 conjugacy classes of subgroups — too many to draw. Only its 179 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. #19145973 | C2 | semidirect |
| 2. #19144920 | C2 | semidirect |
| 3. #19133746 | C2 | semidirect |
| 4. #19133684 | C2 | semidirect |
| 5. #19133333 | C2 | semidirect |
| 6. #19133046 | C2 | semidirect |
| 7. C43×#3548 | C2 | semidirect |
| 165. #3548 | D43 | semidirect |
| 199. C43 | #18696 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145973 | 2 |
| #19144920 | 2 |
| #19133746 | 2 |
| #19133684 | 2 |
| #19133333 | 2 |
| #19133046 | 2 |
| C43×#3548 | 2 |
| #18696 | 43 |