Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
426 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 139 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 |
|---|---|---|
| 116. C8×C43 | #101 | semidirect |
| 164. C43 | #9794 | semidirect |
| 259. C8 | #13063244 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135585 | 2 |
| #19135440 | 2 |
| #19133351 | 2 |
| #19133280 | 2 |
| #19133267 | 2 |
| C8×#10621877 | 2 |
| C2×C43×#498 | 2 |
| #9794 | 43 |