Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
312 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 95 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. #19136194 | C2 | semidirect |
| 5. #19135383 | C2 | semidirect |
| 6. #19132690 | C2 | semidirect |
| 7. C43×#1389 | C2 | semidirect |
| 15. #14582716 | C4 | semidirect |
| 16. #14582713 | C4 | semidirect |
| 141. #1389 | D43 | semidirect |
| 165. C43 | #13146 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136345 | 2 |
| C2×#14582705 | 2 |
| #19136194 | 2 |
| #19135491 | 2 |
| #19135383 | 2 |
| #19132690 | 2 |
| C43×#1389 | 2 |
| #13146 | 43 |