Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
328 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 328 conjugacy classes of subgroups — too many to draw. Only its 83 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. #19133384 | C2 | semidirect |
| 2. #19133383 | C2 | semidirect |
| 6. C43⋊#1309 | C2 | semidirect |
| 7. C43×#1574 | C2 | semidirect |
| 143. #1574 | D43 | semidirect |
| 172. C43 | #10612 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19133384 | 2 |
| #19133383 | 2 |
| #19133264 | 2 |
| #19133262 | 2 |
| C43⋊#1309 | 2 |
| C43×#1574 | 2 |
| #10612 | 43 |