Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
392 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 392 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 |
|---|---|---|
| 3. #19133381 | C2 | semidirect |
| 4. #19133296 | C2 | semidirect |
| 5. #19133093 | C2 | semidirect |
| 7. C43×#1285 | C2 | semidirect |
| 184. #1285 | D43 | semidirect |
| 212. C43 | #10510 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145600 | 2 |
| #19135527 | 2 |
| #19133381 | 2 |
| #19133296 | 2 |
| #19133093 | 2 |
| #19132948 | 2 |
| C43×#1285 | 2 |
| #10510 | 43 |