Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
478 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 91 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. #19143679 | C2 | semidirect |
| 3. C4×#13063243 | C2 | semidirect |
| 6. #19132459 | C2 | semidirect |
| 7. C43×#1288 | C2 | semidirect |
| 211. #1288 | D43 | semidirect |
| 241. C43 | #9188 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143679 | 2 |
| #19140458 | 2 |
| C4×#13063243 | 2 |
| #19133194 | 2 |
| #19133192 | 2 |
| #19132459 | 2 |
| C43×#1288 | 2 |
| #9188 | 43 |