Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
280 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 69 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. #19136410 | C2 | semidirect |
| 3. #19136359 | C2 | semidirect |
| 4. #19132657 | C2 | semidirect |
| 5. #19132655 | C2 | semidirect |
| 6. #19132636 | C2 | semidirect |
| 7. C43×#1359 | C2 | semidirect |
| 142. #1359 | D43 | semidirect |
| 166. C43 | #11991 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145220 | 2 |
| #19136410 | 2 |
| #19136359 | 2 |
| #19132657 | 2 |
| #19132655 | 2 |
| #19132636 | 2 |
| C43×#1359 | 2 |
| #11991 | 43 |