Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
414 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19135575 | C2 | semidirect |
| 4. #19133067 | C2 | semidirect |
| 5. #19132487 | C2 | semidirect |
| 6. #19132484 | C2 | semidirect |
| 9. #14583309 | C4 | semidirect |
| 10. #14583294 | C4 | semidirect |
| 11. #14583269 | C4 | semidirect |
| 12. #14583258 | C4 | semidirect |
| 233. C43 | #8998 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145202 | 2 |
| #19135575 | 2 |
| #19133081 | 2 |
| #19133067 | 2 |
| #19132487 | 2 |
| #19132484 | 2 |
| C43×#2995 | 2 |
| #8998 | 43 |