Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
418 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 3. #19135548 | C2 | semidirect |
| 5. #19132464 | C2 | semidirect |
| 6. #19132452 | C2 | semidirect |
| 7. C43×#1558 | C2 | semidirect |
| 9. #14583305 | C4 | semidirect |
| 10. #14583261 | C4 | semidirect |
| 186. #1558 | D43 | semidirect |
| 221. C43 | #9375 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145816 | 2 |
| #19143736 | 2 |
| #19135548 | 2 |
| #19133121 | 2 |
| #19132464 | 2 |
| #19132452 | 2 |
| C43×#1558 | 2 |
| #9375 | 43 |