Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
558 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 558 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19143313 | C2 | semidirect |
| 3. #19135418 | C2 | semidirect |
| 4. #19133262 | C2 | semidirect |
| 5. #19132453 | C2 | semidirect |
| 6. #19132425 | C2 | semidirect |
| 7. C43×#1517 | C2 | semidirect |
| 10. #14583275 | C4 | semidirect |
| 11. #14583247 | C4 | semidirect |
| 118. C2×C43⋊C8 | D8 | semidirect |
| 193. #1517 | D43 | semidirect |
| 222. C43 | #9293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145510 | 2 |
| #19143313 | 2 |
| #19135418 | 2 |
| #19133262 | 2 |
| #19132453 | 2 |
| #19132425 | 2 |
| C43×#1517 | 2 |
| #9293 | 43 |