Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1166 conjugacy classes of subgroups; only the 183 normal subgroups are shown.
This group has 1166 conjugacy classes of subgroups — too many to draw. Only its 183 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. #19144713 | C2 | semidirect |
| 2. #19137886 | C2 | semidirect |
| 3. #19133598 | C2 | semidirect |
| 4. #19133564 | C2 | semidirect |
| 5. #19133103 | C2 | semidirect |
| 6. #19132939 | C2 | semidirect |
| 220. C43 | #18187 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144713 | 2 |
| #19137886 | 2 |
| #19133598 | 2 |
| #19133564 | 2 |
| #19133103 | 2 |
| #19132939 | 2 |
| C43×#3497 | 2 |
| #18187 | 43 |