Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
390 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 57 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. #19136531 | C2 | semidirect |
| 3. #19136528 | C2 | semidirect |
| 5. #19132612 | C2 | semidirect |
| 7. C43×#1350 | C2 | semidirect |
| 172. #1350 | D43 | semidirect |
| 198. C43 | #12112 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145485 | 2 |
| #19136531 | 2 |
| #19136528 | 2 |
| #19135717 | 2 |
| #19132612 | 2 |
| #19132520 | 2 |
| C43×#1350 | 2 |
| #12112 | 43 |