Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
514 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 514 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. #19143725 | C2 | semidirect |
| 3. C4×#13063253 | C2 | semidirect |
| 4. #19133012 | C2 | semidirect |
| 5. #19132484 | C2 | semidirect |
| 6. #19132428 | C2 | semidirect |
| 7. C43×#1962 | C2 | semidirect |
| 10. #14583191 | C4 | semidirect |
| 11. #14583186 | C4 | semidirect |
| 12. #14583096 | C4 | semidirect |
| 13. #14583091 | C4 | semidirect |
| 179. Dic86 | #104 | semidirect |
| 213. #1962 | D43 | semidirect |
| 249. C43 | #8970 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144649 | 2 |
| #19143725 | 2 |
| C4×#13063253 | 2 |
| #19133012 | 2 |
| #19132484 | 2 |
| #19132428 | 2 |
| C43×#1962 | 2 |
| #8970 | 43 |