Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
390 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 65 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. #19136864 | C2 | semidirect |
| 3. #19134081 | C2 | semidirect |
| 4. #19132639 | C2 | semidirect |
| 5. #19132562 | C2 | semidirect |
| 6. #19132552 | C2 | semidirect |
| 7. C43×#2208 | C2 | semidirect |
| 19. #14582675 | C22 | semidirect |
| 20. #14582650 | C22 | semidirect |
| 23. C43×#494 | C22 | semidirect |
| 25. C43×C4⋊C16 | C22 | semidirect |
| 169. #2208 | D43 | semidirect |
| 186. #494 | C2×D43 | semidirect |
| 194. C4⋊C16 | C2×D43 | semidirect |
| 199. C43 | #12326 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19146205 | 2 |
| #19136864 | 2 |
| #19134081 | 2 |
| #19132639 | 2 |
| #19132562 | 2 |
| #19132552 | 2 |
| C43×#2208 | 2 |
| #12326 | 43 |