Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
234 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 234 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. #19133508 | C2 | semidirect |
| 3. #19133419 | C2 | semidirect |
| 4. #19132660 | C2 | semidirect |
| 5. #19132563 | C2 | semidirect |
| 6. #19132515 | C2 | semidirect |
| 7. C43×#1333 | C2 | semidirect |
| 49. D8×C43 | M16 | semidirect |
| 109. #1333 | D43 | semidirect |
| 131. C43 | #12078 | semidirect |
| 160. D8 | #10621872 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136469 | 2 |
| #19133508 | 2 |
| #19133419 | 2 |
| #19132660 | 2 |
| #19132563 | 2 |
| #19132515 | 2 |
| C43×#1333 | 2 |
| #12078 | 43 |