Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
488 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 131 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. #19146996 | C2 | semidirect |
| 2. #19136789 | C2 | semidirect |
| 3. #19136777 | C2 | semidirect |
| 4. #19136749 | C2 | semidirect |
| 5. #19136699 | C2 | semidirect |
| 6. C4×D688 | C2 | semidirect |
| 7. #19136428 | C2 | semidirect |
| 8. #19136382 | C2 | semidirect |
| 9. C43×#2253 | C2 | semidirect |
| 135. #2253 | D43 | semidirect |
| 173. C43 | #33922 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19146996 | 2 |
| #19136789 | 2 |
| #19136777 | 2 |
| #19136749 | 2 |
| #19136699 | 2 |
| C4×D688 | 2 |
| #19136428 | 2 |
| #19136382 | 2 |
| C43×#2253 | 2 |
| #33922 | 43 |