Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
484 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 131 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. #19136736 | C2 | semidirect |
| 3. #19136735 | C2 | semidirect |
| 6. #19136644 | C2 | semidirect |
| 7. #19136643 | C2 | semidirect |
| 174. C43 | #33821 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145176 | 2 |
| #19136736 | 2 |
| #19136735 | 2 |
| #19136703 | 2 |
| #19136701 | 2 |
| #19136644 | 2 |
| #19136643 | 2 |
| #19136350 | 2 |
| C43×#2219 | 2 |
| #33821 | 43 |