Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
422 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 99 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. C4×#13063260 | C2 | semidirect |
| 3. #19133190 | C2 | semidirect |
| 6. #19132876 | C2 | semidirect |
| 7. C43×#1485 | C2 | semidirect |
| 175. #1485 | D43 | semidirect |
| 206. C43 | #9723 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145155 | 2 |
| C4×#13063260 | 2 |
| #19133190 | 2 |
| #19133186 | 2 |
| #19133011 | 2 |
| #19132876 | 2 |
| C43×#1485 | 2 |
| #9723 | 43 |