Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
464 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 127 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. #19136761 | C2 | semidirect |
| 3. #19136758 | C2 | semidirect |
| 6. #19136644 | C2 | semidirect |
| 7. #19136643 | C2 | semidirect |
| 174. C43 | #33827 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145247 | 2 |
| #19136761 | 2 |
| #19136758 | 2 |
| #19136701 | 2 |
| #19136686 | 2 |
| #19136644 | 2 |
| #19136643 | 2 |
| #19136353 | 2 |
| C43×#2216 | 2 |
| #33827 | 43 |