Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
424 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 55 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 |
|---|---|---|
| 1. #19139321 | C2 | semidirect |
| 4. #19132617 | C2 | semidirect |
| 5. #19132595 | C2 | semidirect |
| 6. #19132542 | C2 | semidirect |
| 222. C43 | #12134 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19139321 | 2 |
| #19135843 | 2 |
| #19133547 | 2 |
| #19132617 | 2 |
| #19132595 | 2 |
| #19132542 | 2 |
| C43×#1607 | 2 |
| #12134 | 43 |