Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
564 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 564 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. #19145902 | C2 | semidirect |
| 2. #19144687 | C2 | semidirect |
| 3. #19144682 | C2 | semidirect |
| 4. #19135393 | C2 | semidirect |
| 5. #19133205 | C2 | semidirect |
| 6. #19132464 | C2 | semidirect |
| 7. C43×#1530 | C2 | semidirect |
| 213. #1530 | D43 | semidirect |
| 247. C43 | #10026 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145902 | 2 |
| #19144687 | 2 |
| #19144682 | 2 |
| #19135393 | 2 |
| #19133205 | 2 |
| #19132464 | 2 |
| C43×#1530 | 2 |
| #10026 | 43 |