Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
464 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 2. #19145811 | C2 | semidirect |
| 4. #19135575 | C2 | semidirect |
| 5. #19133108 | C2 | semidirect |
| 7. C43×#1307 | C2 | semidirect |
| 193. #1307 | D43 | semidirect |
| 224. C43 | #10215 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145983 | 2 |
| #19145811 | 2 |
| #19145608 | 2 |
| #19135575 | 2 |
| #19133108 | 2 |
| #19133104 | 2 |
| C43×#1307 | 2 |
| #10215 | 43 |