Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
728 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 728 conjugacy classes of subgroups — too many to draw. Only its 163 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. #19145314 | C2 | semidirect |
| 3. #19144991 | C2 | semidirect |
| 4. #19134249 | C2 | semidirect |
| 5. #19134243 | C2 | semidirect |
| 6. #19134237 | C2 | semidirect |
| 7. #19134208 | C2 | semidirect |
| 8. #19132898 | C2 | semidirect |
| 9. C43×#3139 | C2 | semidirect |
| 158. #3139 | D43 | semidirect |
| 197. C43 | #19754 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145333 | 2 |
| #19145314 | 2 |
| #19144991 | 2 |
| #19134249 | 2 |
| #19134243 | 2 |
| #19134237 | 2 |
| #19134208 | 2 |
| #19132898 | 2 |
| C43×#3139 | 2 |
| #19754 | 43 |