Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
566 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 566 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. #19145787 | C2 | semidirect |
| 3. #19139761 | C2 | semidirect |
| 4. #19135514 | C2 | semidirect |
| 5. #19133196 | C2 | semidirect |
| 6. #19132452 | C2 | semidirect |
| 7. C43×#1490 | C2 | semidirect |
| 215. #1490 | D43 | semidirect |
| 249. C43 | #10005 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145787 | 2 |
| #19144686 | 2 |
| #19139761 | 2 |
| #19135514 | 2 |
| #19133196 | 2 |
| #19132452 | 2 |
| C43×#1490 | 2 |
| #10005 | 43 |