Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
922 conjugacy classes of subgroups; only the 187 normal subgroups are shown.
This group has 922 conjugacy classes of subgroups — too many to draw. Only its 187 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. #19145173 | C2 | semidirect |
| 2. #19145024 | C2 | semidirect |
| 3. #19145022 | C2 | semidirect |
| 4. #19134211 | C2 | semidirect |
| 5. #19134209 | C2 | semidirect |
| 6. #19134201 | C2 | semidirect |
| 7. #19134186 | C2 | semidirect |
| 8. C82×D43 | C2 | semidirect |
| 9. C43×#1709 | C2 | semidirect |
| 99. C8×D43 | D8 | semidirect |
| 124. C43⋊C8 | #135 | semidirect |
| 145. #1709 | D43 | semidirect |
| 176. C43 | #19603 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145173 | 2 |
| #19145024 | 2 |
| #19145022 | 2 |
| #19134211 | 2 |
| #19134209 | 2 |
| #19134201 | 2 |
| #19134186 | 2 |
| C82×D43 | 2 |
| C43×#1709 | 2 |
| #19603 | 43 |