Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
420 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 3. #19133232 | C2 | semidirect |
| 4. #19132999 | C2 | semidirect |
| 5. #19132464 | C2 | semidirect |
| 6. #19132457 | C2 | semidirect |
| 192. C43 | #9373 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145606 | 2 |
| #19133290 | 2 |
| #19133232 | 2 |
| #19132999 | 2 |
| #19132464 | 2 |
| #19132457 | 2 |
| C43×#2981 | 2 |
| #9373 | 43 |