Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
772 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 772 conjugacy classes of subgroups — too many to draw. Only its 103 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. #19134527 | C2 | semidirect |
| 3. #19134515 | C2 | semidirect |
| 4. #19133138 | C2 | semidirect |
| 5. #19132500 | C2 | semidirect |
| 6. #19132472 | C2 | semidirect |
| 7. C43×#2976 | C2 | semidirect |
| 11. #14583049 | C4 | semidirect |
| 13. #14583032 | C4 | semidirect |
| 267. #2976 | D43 | semidirect |
| 307. C43 | #9520 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143821 | 2 |
| #19134527 | 2 |
| #19134515 | 2 |
| #19133138 | 2 |
| #19132500 | 2 |
| #19132472 | 2 |
| C43×#2976 | 2 |
| #9520 | 43 |