Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1202 conjugacy classes of subgroups; only the 355 normal subgroups are shown.
This group has 1202 conjugacy classes of subgroups — too many to draw. Only its 355 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. #19143676 | C2 | semidirect |
| 3. #19133154 | C2 | semidirect |
| 4. #19133089 | C2 | semidirect |
| 5. C43×#2351 | C2 | semidirect |
| 7. #14583571 | C4 | semidirect |
| 8. Q8×D172 | C4 | semidirect |
| 123. #2351 | D43 | semidirect |
| 147. C43 | #17618 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19148366 | 2 |
| #19143676 | 2 |
| #19133154 | 2 |
| #19133089 | 2 |
| C43×#2351 | 2 |
| #17618 | 43 |