Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
558 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 558 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19143314 | C2 | semidirect |
| 3. #19135419 | C2 | semidirect |
| 4. #19133262 | C2 | semidirect |
| 5. #19133156 | C2 | semidirect |
| 6. #19132454 | C2 | semidirect |
| 7. C43×#1275 | C2 | semidirect |
| 11. #14583276 | C4 | semidirect |
| 12. #14583246 | C4 | semidirect |
| 102. C2×C8×C43 | D8 | semidirect |
| 195. #1275 | D43 | semidirect |
| 222. C43 | #9293 | semidirect |
| 304. C2×C8 | D344 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145515 | 2 |
| #19143314 | 2 |
| #19135419 | 2 |
| #19133262 | 2 |
| #19133156 | 2 |
| #19132454 | 2 |
| C43×#1275 | 2 |
| #9293 | 43 |