Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
640 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 640 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. #19145741 | C2 | semidirect |
| 4. #19135572 | C2 | semidirect |
| 5. #19133266 | C2 | semidirect |
| 7. C43×#1276 | C2 | semidirect |
| 98. C42×C43 | SD16 | semidirect |
| 182. #1276 | D43 | semidirect |
| 209. C43 | #10294 | semidirect |
| 295. C42 | #10621873 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145741 | 2 |
| #19145538 | 2 |
| #19142952 | 2 |
| #19135572 | 2 |
| #19133266 | 2 |
| #19133262 | 2 |
| C43×#1276 | 2 |
| #10294 | 43 |