Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
334 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 4. #19135380 | C2 | semidirect |
| 5. #19132704 | C2 | semidirect |
| 6. #19132689 | C2 | semidirect |
| 7. C43×#2108 | C2 | semidirect |
| 15. #14582713 | C4 | semidirect |
| 141. #2108 | D43 | semidirect |
| 168. C43 | #13144 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582713 | 2 |
| C2×#14582701 | 2 |
| #19135505 | 2 |
| #19135380 | 2 |
| #19132704 | 2 |
| #19132689 | 2 |
| C43×#2108 | 2 |
| #13144 | 43 |