Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
354 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 47 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. #19132519 | C2 | semidirect |
| 3. C43×#1314 | C2 | semidirect |
| 129. #1314 | D43 | semidirect |
| 144. C43 | #7058 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19134506 | 2 |
| #19132519 | 2 |
| C43×#1314 | 2 |
| #7058 | 43 |