Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
464 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 464 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 |
|---|---|---|
| 1. #19143657 | C2 | semidirect |
| 2. #19133151 | C2 | semidirect |
| 3. #19133124 | C2 | semidirect |
| 4. #19132955 | C2 | semidirect |
| 5. #19132504 | C2 | semidirect |
| 6. #19132471 | C2 | semidirect |
| 26. C43×#483 | C4 | semidirect |
| 28. C43×#480 | C4 | semidirect |
| 31. C43×#450 | C4 | semidirect |
| 33. C43×#447 | C4 | semidirect |
| 235. #483 | Dic43 | semidirect |
| 237. #480 | Dic43 | semidirect |
| 240. #450 | Dic43 | semidirect |
| 242. #447 | Dic43 | semidirect |
| 260. C43 | #9332 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143657 | 2 |
| #19133151 | 2 |
| #19133124 | 2 |
| #19132955 | 2 |
| #19132504 | 2 |
| #19132471 | 2 |
| C43×#3194 | 2 |
| #9332 | 43 |