Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
428 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19134767 | C2 | semidirect |
| 3. #19133051 | C2 | semidirect |
| 4. #19133051 | C2 | semidirect |
| 7. C2×C43×#322 | C2 | semidirect |
| 160. C2×#322 | D43 | semidirect |
| 185. C43 | #9858 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144918 | 2 |
| #19134767 | 2 |
| #19133051 | 2 |
| #19133047 | 2 |
| C2×C43×#322 | 2 |
| #9858 | 43 |