Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
590 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 590 conjugacy classes of subgroups — too many to draw. Only its 83 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. #19144989 | C2 | semidirect |
| 3. #19140706 | C2 | semidirect |
| 4. #19133311 | C2 | semidirect |
| 5. #19133104 | C2 | semidirect |
| 6. #19132489 | C2 | semidirect |
| 7. C43×#1527 | C2 | semidirect |
| 191. #1527 | D43 | semidirect |
| 223. C43 | #10094 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145582 | 2 |
| #19144989 | 2 |
| #19140706 | 2 |
| #19133311 | 2 |
| #19133104 | 2 |
| #19132489 | 2 |
| C43×#1527 | 2 |
| #10094 | 43 |