Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
360 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19136395 | C2 | semidirect |
| 3. #19136391 | C2 | semidirect |
| 4. #19132521 | C2 | semidirect |
| 5. #19132520 | C2 | semidirect |
| 6. #19132520 | C2 | semidirect |
| 7. C43×#1315 | C2 | semidirect |
| 166. #1315 | D43 | semidirect |
| 192. C43 | #11492 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143303 | 2 |
| #19136395 | 2 |
| #19136391 | 2 |
| #19132521 | 2 |
| #19132520 | 2 |
| C43×#1315 | 2 |
| #11492 | 43 |