Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
458 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 95 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. #19134802 | C2 | semidirect |
| 4. #19134799 | C2 | semidirect |
| 6. #19132483 | C2 | semidirect |
| 7. C43×#1298 | C2 | semidirect |
| 160. C2×Dic43 | #108 | semidirect |
| 205. #1298 | D43 | semidirect |
| 235. C43 | #8860 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143634 | 2 |
| #19134890 | 2 |
| #19134802 | 2 |
| #19134799 | 2 |
| #19132911 | 2 |
| #19132483 | 2 |
| C43×#1298 | 2 |
| #8860 | 43 |