Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
400 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 4. C2×#14582641 | C2 | semidirect |
| 5. #19132493 | C2 | semidirect |
| 6. #19132439 | C2 | semidirect |
| 7. C43×#1470 | C2 | semidirect |
| 192. #1470 | D43 | semidirect |
| 228. C43 | #9266 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145763 | 2 |
| #19143584 | 2 |
| #19133216 | 2 |
| C2×#14582641 | 2 |
| #19132493 | 2 |
| #19132439 | 2 |
| C43×#1470 | 2 |
| #9266 | 43 |