Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
554 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 101 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. #19133024 | C2 | semidirect |
| 5. #19132990 | C2 | semidirect |
| 6. #19132453 | C2 | semidirect |
| 7. C43×#2581 | C2 | semidirect |
| 92. C2×Q8×C43 | SD16 | semidirect |
| 216. #2581 | D43 | semidirect |
| 252. C43 | #9999 | semidirect |
| 317. C2×Q8 | #10621884 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144626 | 2 |
| #19144067 | 2 |
| #19133154 | 2 |
| #19133024 | 2 |
| #19132990 | 2 |
| #19132453 | 2 |
| C43×#2581 | 2 |
| #9999 | 43 |