Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
636 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 636 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 |
|---|---|---|
| 2. C2×#14583218 | C2 | semidirect |
| 3. #19139088 | C2 | semidirect |
| 4. #19135430 | C2 | semidirect |
| 5. #19134683 | C2 | semidirect |
| 6. #19132441 | C2 | semidirect |
| 7. C43×#1519 | C2 | semidirect |
| 218. #1519 | D43 | semidirect |
| 252. C43 | #9950 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145343 | 2 |
| C2×#14583218 | 2 |
| #19139088 | 2 |
| #19135430 | 2 |
| #19134683 | 2 |
| #19132441 | 2 |
| C43×#1519 | 2 |
| #9950 | 43 |