Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
534 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 534 conjugacy classes of subgroups — too many to draw. Only its 71 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. #19132934 | C2 | semidirect |
| 3. #19132910 | C2 | semidirect |
| 4. #19132525 | C2 | semidirect |
| 5. #19132522 | C2 | semidirect |
| 6. #19132522 | C2 | semidirect |
| 7. C43×#1317 | C2 | semidirect |
| 223. #1317 | D43 | semidirect |
| 254. C43 | #11560 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19139490 | 2 |
| #19132934 | 2 |
| #19132910 | 2 |
| #19132525 | 2 |
| #19132522 | 2 |
| C43×#1317 | 2 |
| #11560 | 43 |