Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
444 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 10. #14583184 | C4 | semidirect |
| 11. #14583109 | C4 | semidirect |
| 198. C43 | #9328 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144725 | 2 |
| #19137246 | 2 |
| #19135539 | 2 |
| #19133108 | 2 |
| #19132489 | 2 |
| #19132450 | 2 |
| C43×#1491 | 2 |
| #9328 | 43 |