Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
474 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 135 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. #19136224 | C2 | semidirect |
| 3. #19136216 | C2 | semidirect |
| 4. #19132676 | C2 | semidirect |
| 5. C43×#3407 | C2 | semidirect |
| 52. M32×C43 | D4 | semidirect |
| 138. #3407 | D43 | semidirect |
| 163. C43 | #12982 | semidirect |
| 189. M32 | C22⋊D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143305 | 2 |
| #19136224 | 2 |
| #19136216 | 2 |
| #19132676 | 2 |
| C43×#3407 | 2 |
| #12982 | 43 |