Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
624 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 624 conjugacy classes of subgroups — too many to draw. Only its 85 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. #19143664 | C2 | semidirect |
| 3. #19136278 | C2 | semidirect |
| 4. #19134546 | C2 | semidirect |
| 5. #19132718 | C2 | semidirect |
| 6. #19132717 | C2 | semidirect |
| 7. C43×#1791 | C2 | semidirect |
| 258. #1791 | D43 | semidirect |
| 293. C43 | #13052 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143944 | 2 |
| #19143664 | 2 |
| #19136278 | 2 |
| #19134546 | 2 |
| #19132718 | 2 |
| #19132717 | 2 |
| C43×#1791 | 2 |
| #13052 | 43 |