Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
196 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 196 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 |
|---|---|---|
| 1. #19136838 | C2 | semidirect |
| 3. #19136437 | C2 | semidirect |
| 4. #19132662 | C2 | semidirect |
| 5. #19132656 | C2 | semidirect |
| 6. #19132631 | C2 | semidirect |
| 7. C43×#2231 | C2 | semidirect |
| 93. #2231 | D43 | semidirect |
| 118. C43 | #12465 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136838 | 2 |
| #19136671 | 2 |
| #19136437 | 2 |
| #19132662 | 2 |
| #19132656 | 2 |
| #19132631 | 2 |
| C43×#2231 | 2 |
| #12465 | 43 |