Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
416 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 416 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 |
|---|---|---|
| 4. #19135383 | C2 | semidirect |
| 5. #19132711 | C2 | semidirect |
| 6. #19132682 | C2 | semidirect |
| 7. C43×#2155 | C2 | semidirect |
| 17. #14582713 | C4 | semidirect |
| 41. #13063261 | C2×C4 | semidirect |
| 50. M32×C43 | C2×C4 | semidirect |
| 134. #2155 | D43 | semidirect |
| 161. C43 | #12953 | semidirect |
| 181. M32 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143446 | 2 |
| C2×#14582713 | 2 |
| C2×#14582711 | 2 |
| #19135383 | 2 |
| #19132711 | 2 |
| #19132682 | 2 |
| C43×#2155 | 2 |
| #12953 | 43 |