Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
920 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 920 conjugacy classes of subgroups — too many to draw. Only its 179 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. #19145147 | C2 | semidirect |
| 4. #19140545 | C2 | semidirect |
| 6. #19135575 | C2 | semidirect |
| 7. #19134812 | C2 | semidirect |
| 9. C43×#1966 | C2 | semidirect |
| 191. #1966 | D43 | semidirect |
| 225. C43 | #25691 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19148479 | 2 |
| #19145147 | 2 |
| #19144418 | 2 |
| #19140545 | 2 |
| #19135813 | 2 |
| #19135575 | 2 |
| #19134812 | 2 |
| #19134408 | 2 |
| C43×#1966 | 2 |
| #25691 | 43 |