Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
786 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 786 conjugacy classes of subgroups — too many to draw. Only its 105 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. #19138240 | C2 | semidirect |
| 4. #19134531 | C2 | semidirect |
| 5. #19133167 | C2 | semidirect |
| 6. #19132442 | C2 | semidirect |
| 136. C22⋊Dic43 | SD16 | semidirect |
| 262. C43 | #9949 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583037 | 2 |
| #19138240 | 2 |
| #19135432 | 2 |
| #19134531 | 2 |
| #19133167 | 2 |
| #19132442 | 2 |
| C43×#3187 | 2 |
| #9949 | 43 |