Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
384 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 83 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. #19132452 | C2 | semidirect |
| 5. #19132451 | C2 | semidirect |
| 6. #19132450 | C2 | semidirect |
| 7. C43×#1285 | C2 | semidirect |
| 180. #1285 | D43 | semidirect |
| 206. C43 | #8744 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137088 | 2 |
| #19132927 | 2 |
| #19132452 | 2 |
| #19132451 | 2 |
| #19132450 | 2 |
| C43×#1285 | 2 |
| #8744 | 43 |