Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
676 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 676 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19135576 | C2 | semidirect |
| 3. #19133325 | C2 | semidirect |
| 5. #19133232 | C2 | semidirect |
| 7. C43×#1506 | C2 | semidirect |
| 12. #14583622 | C4 | semidirect |
| 13. Q8×D172 | C4 | semidirect |
| 207. #1506 | D43 | semidirect |
| 239. C43 | #8496 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149006 | 2 |
| #19135576 | 2 |
| #19133325 | 2 |
| #19133318 | 2 |
| #19133232 | 2 |
| #19133102 | 2 |
| C43×#1506 | 2 |
| #8496 | 43 |