Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
530 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 530 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 |
|---|---|---|
| 2. #19137405 | C2 | semidirect |
| 3. #19135514 | C2 | semidirect |
| 4. #19133192 | C2 | semidirect |
| 5. #19133141 | C2 | semidirect |
| 6. #19132450 | C2 | semidirect |
| 7. C43×#1288 | C2 | semidirect |
| 10. #14583288 | C4 | semidirect |
| 11. #14583259 | C4 | semidirect |
| 37. #13063325 | C2×C4 | semidirect |
| 38. #13063322 | C2×C4 | semidirect |
| 73. #97×C43 | C2×C4 | semidirect |
| 220. #1288 | D43 | semidirect |
| 252. C43 | #9381 | semidirect |
| 292. #97 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145584 | 2 |
| #19137405 | 2 |
| #19135514 | 2 |
| #19133192 | 2 |
| #19133141 | 2 |
| #19132450 | 2 |
| C43×#1288 | 2 |
| #9381 | 43 |