Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
270 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 270 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 |
|---|---|---|
| 16. #14582621 | C4 | semidirect |
| 17. #14582620 | C4 | semidirect |
| 145. C43 | #8795 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19134757 | 2 |
| #19134732 | 2 |
| #19132888 | 2 |
| #19132455 | 2 |
| #19132454 | 2 |
| #19132453 | 2 |
| C43×#1286 | 2 |
| #8795 | 43 |