Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
384 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 97 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. C4×#13063258 | C2 | semidirect |
| 3. #19133356 | C2 | semidirect |
| 6. #19132452 | C2 | semidirect |
| 7. C43×#1285 | C2 | semidirect |
| 9. #14583026 | C4 | semidirect |
| 10. #14583023 | C4 | semidirect |
| 11. #14582976 | C4 | semidirect |
| 13. #14582964 | C4 | semidirect |
| 179. #1285 | D43 | semidirect |
| 209. C43 | #8697 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143564 | 2 |
| C4×#13063258 | 2 |
| #19133356 | 2 |
| #19133121 | 2 |
| #19133118 | 2 |
| #19132452 | 2 |
| C43×#1285 | 2 |
| #8697 | 43 |