Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
244 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 67 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. #19136503 | C2 | semidirect |
| 2. #19133952 | C2 | semidirect |
| 3. #19132669 | C2 | semidirect |
| 4. #19132641 | C2 | semidirect |
| 50. C16×C43 | SD16 | semidirect |
| 100. C43 | #12442 | semidirect |
| 135. C16 | #10621883 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136503 | 2 |
| #19133952 | 2 |
| #19132669 | 2 |
| #19132641 | 2 |
| C43×#2246 | 2 |
| #12442 | 43 |