Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
578 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 578 conjugacy classes of subgroups — too many to draw. Only its 105 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. #19133267 | C2 | semidirect |
| 5. #19132990 | C2 | semidirect |
| 6. #19132498 | C2 | semidirect |
| 7. C43×#2546 | C2 | semidirect |
| 208. #2546 | D43 | semidirect |
| 242. C43 | #10243 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145716 | 2 |
| #19144067 | 2 |
| #19133267 | 2 |
| #19133089 | 2 |
| #19132990 | 2 |
| #19132498 | 2 |
| C43×#2546 | 2 |
| #10243 | 43 |