Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
314 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 314 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 |
|---|---|---|
| 4. #19134481 | C2 | semidirect |
| 5. #19132698 | C2 | semidirect |
| 6. #19132678 | C2 | semidirect |
| 7. C43×#2155 | C2 | semidirect |
| 15. #14582716 | C4 | semidirect |
| 16. #14582713 | C4 | semidirect |
| 134. #2155 | D43 | semidirect |
| 161. C43 | #13140 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136345 | 2 |
| #19136330 | 2 |
| #19135486 | 2 |
| #19134481 | 2 |
| #19132698 | 2 |
| #19132678 | 2 |
| C43×#2155 | 2 |
| #13140 | 43 |