Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
414 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 103 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. #19134712 | C2 | semidirect |
| 3. #19132420 | C2 | semidirect |
| 5. C43×#1839 | C2 | semidirect |
| 163. #1839 | D43 | semidirect |
| 192. C43 | #7716 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19142967 | 2 |
| #19134712 | 2 |
| #19132420 | 2 |
| #19132415 | 2 |
| C43×#1839 | 2 |
| #7716 | 43 |