Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
554 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19145978 | C2 | semidirect |
| 3. #19135573 | C2 | semidirect |
| 4. #19135424 | C2 | semidirect |
| 5. #19135422 | C2 | semidirect |
| 6. C43⋊#1309 | C2 | semidirect |
| 7. C43×#3254 | C2 | semidirect |
| 214. #3254 | D43 | semidirect |
| 251. C43 | #10301 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145978 | 2 |
| #19145973 | 2 |
| #19135573 | 2 |
| #19135424 | 2 |
| #19135422 | 2 |
| C43⋊#1309 | 2 |
| C43×#3254 | 2 |
| #10301 | 43 |