Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
638 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 638 conjugacy classes of subgroups — too many to draw. Only its 153 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 |
|---|---|---|
| 3. #19135398 | C2 | semidirect |
| 4. C43⋊#1273 | C2 | semidirect |
| 5. C2×C43×#498 | C2 | semidirect |
| 118. C2×#498 | D43 | semidirect |
| 141. C43 | #10312 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583247 | 2 |
| #19135401 | 2 |
| #19135398 | 2 |
| C43⋊#1273 | 2 |
| C2×C43×#498 | 2 |
| #10312 | 43 |