Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
728 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 728 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19135540 | C2 | semidirect |
| 3. #19135525 | C2 | semidirect |
| 4. #19133194 | C2 | semidirect |
| 5. #19133121 | C2 | semidirect |
| 6. #19133006 | C2 | semidirect |
| 7. C43×#1552 | C2 | semidirect |
| 8. #14583653 | C4 | semidirect |
| 9. #14583647 | C4 | semidirect |
| 271. #1552 | D43 | semidirect |
| 311. C43 | #8511 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149160 | 2 |
| #19135540 | 2 |
| #19135525 | 2 |
| #19133194 | 2 |
| #19133121 | 2 |
| #19133006 | 2 |
| C43×#1552 | 2 |
| #8511 | 43 |