Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
482 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 97 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. #19133356 | C2 | semidirect |
| 3. #19133192 | C2 | semidirect |
| 4. #19132948 | C2 | semidirect |
| 5. #19132947 | C2 | semidirect |
| 6. M16×C43⋊C8 | C2 | semidirect |
| 7. C43×#1527 | C2 | semidirect |
| 200. #1527 | D43 | semidirect |
| 233. C43 | #9787 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583281 | 2 |
| #19133356 | 2 |
| #19133192 | 2 |
| #19132948 | 2 |
| #19132947 | 2 |
| M16×C43⋊C8 | 2 |
| C43×#1527 | 2 |
| #9787 | 43 |