Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
490 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 77 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. #19135056 | C2 | semidirect |
| 3. #19135031 | C2 | semidirect |
| 4. #19134799 | C2 | semidirect |
| 5. #19133162 | C2 | semidirect |
| 6. #19132956 | C2 | semidirect |
| 7. C43×#1305 | C2 | semidirect |
| 222. #1305 | D43 | semidirect |
| 253. C43 | #10560 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145395 | 2 |
| #19135056 | 2 |
| #19135031 | 2 |
| #19134799 | 2 |
| #19133162 | 2 |
| #19132956 | 2 |
| C43×#1305 | 2 |
| #10560 | 43 |