Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
498 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 87 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. #19145713 | C2 | semidirect |
| 3. #19144989 | C2 | semidirect |
| 4. #19135584 | C2 | semidirect |
| 5. #19133013 | C2 | semidirect |
| 6. #19132485 | C2 | semidirect |
| 7. C43×#1525 | C2 | semidirect |
| 183. #1525 | D43 | semidirect |
| 215. C43 | #10110 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145973 | 2 |
| #19145713 | 2 |
| #19144989 | 2 |
| #19135584 | 2 |
| #19133013 | 2 |
| #19132485 | 2 |
| C43×#1525 | 2 |
| #10110 | 43 |