Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
906 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 906 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. #19145175 | C2 | semidirect |
| 2. #19145173 | C2 | semidirect |
| 3. #19145024 | C2 | semidirect |
| 4. #19145018 | C2 | semidirect |
| 5. #19134267 | C2 | semidirect |
| 6. #19134265 | C2 | semidirect |
| 7. #19134263 | C2 | semidirect |
| 8. #19134261 | C2 | semidirect |
| 9. #19134259 | C2 | semidirect |
| 10. #322×D43 | C2 | semidirect |
| 11. C43×#1722 | C2 | semidirect |
| 135. C8×D43 | D8 | semidirect |
| 193. #1722 | D43 | semidirect |
| 235. C43 | #19616 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145175 | 2 |
| #19145173 | 2 |
| #19145024 | 2 |
| #19145018 | 2 |
| #19134267 | 2 |
| #19134265 | 2 |
| #19134263 | 2 |
| #19134261 | 2 |
| #19134259 | 2 |
| #322×D43 | 2 |
| C43×#1722 | 2 |
| #19616 | 43 |