Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
678 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 678 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19145716 | C2 | semidirect |
| 3. #19135423 | C2 | semidirect |
| 4. #19133267 | C2 | semidirect |
| 5. #19133263 | C2 | semidirect |
| 6. #19132428 | C2 | semidirect |
| 7. C43×#2858 | C2 | semidirect |
| 108. C42×C43 | D8 | semidirect |
| 188. #2858 | D43 | semidirect |
| 220. C43 | #10284 | semidirect |
| 309. C42 | #10621882 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145716 | 2 |
| #19145513 | 2 |
| #19135423 | 2 |
| #19133267 | 2 |
| #19133263 | 2 |
| #19132428 | 2 |
| C43×#2858 | 2 |
| #10284 | 43 |