Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
408 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 91 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. C2×#14582724 | C2 | semidirect |
| 3. C2×#14582706 | C2 | semidirect |
| 4. C2×#14582684 | C2 | semidirect |
| 5. #19134660 | C2 | semidirect |
| 6. #19132704 | C2 | semidirect |
| 7. C43×#2139 | C2 | semidirect |
| 44. C2×C43⋊C16 | D4 | semidirect |
| 180. #2139 | D43 | semidirect |
| 210. C43 | #13384 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144261 | 2 |
| C2×#14582724 | 2 |
| C2×#14582706 | 2 |
| C2×#14582684 | 2 |
| #19134660 | 2 |
| #19132704 | 2 |
| C43×#2139 | 2 |
| #13384 | 43 |