Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
674 conjugacy classes of subgroups; only the 259 normal subgroups are shown.
This group has 674 conjugacy classes of subgroups — too many to draw. Only its 259 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 |
|---|---|---|
| 21. C43×#498 | C4 | semidirect |
| 112. #498 | Dic43 | semidirect |
| 127. C43 | #22253 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137344 | 2 |
| #19135569 | 2 |
| #19135182 | 2 |
| #19135175 | 2 |
| #19134726 | 2 |
| #19134346 | 2 |
| C2×C43×#498 | 2 |
| #22253 | 43 |