Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
324 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 63 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. #19147676 | C2 | semidirect |
| 3. #19136632 | C2 | semidirect |
| 4. #19132637 | C2 | semidirect |
| 5. #19132577 | C2 | semidirect |
| 6. #19132564 | C2 | semidirect |
| 7. C43×#1688 | C2 | semidirect |
| 154. #1688 | D43 | semidirect |
| 182. C43 | #12337 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147676 | 2 |
| #19136859 | 2 |
| #19136632 | 2 |
| #19132637 | 2 |
| #19132577 | 2 |
| #19132564 | 2 |
| C43×#1688 | 2 |
| #12337 | 43 |