Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
478 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 3. #19144630 | C2 | semidirect |
| 5. #19132938 | C2 | semidirect |
| 6. #19132456 | C2 | semidirect |
| 7. C43×#1537 | C2 | semidirect |
| 187. #1537 | D43 | semidirect |
| 221. C43 | #10041 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145602 | 2 |
| #19144718 | 2 |
| #19144630 | 2 |
| #19133063 | 2 |
| #19132938 | 2 |
| #19132456 | 2 |
| C43×#1537 | 2 |
| #10041 | 43 |