Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
374 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 374 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. #19134732 | C2 | semidirect |
| 5. #19132486 | C2 | semidirect |
| 6. #19132431 | C2 | semidirect |
| 7. C43×#1574 | C2 | semidirect |
| 164. #1574 | D43 | semidirect |
| 195. C43 | #8900 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143716 | 2 |
| #19134732 | 2 |
| #19133032 | 2 |
| #19132975 | 2 |
| #19132486 | 2 |
| #19132431 | 2 |
| C43×#1574 | 2 |
| #8900 | 43 |