Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
312 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 69 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. #19147463 | C2 | semidirect |
| 2. #19136819 | C2 | semidirect |
| 4. #19133955 | C2 | semidirect |
| 5. #19132652 | C2 | semidirect |
| 6. #19132557 | C2 | semidirect |
| 7. C43×Q8⋊C16 | C2 | semidirect |
| 81. D344 | SD16 | semidirect |
| 133. Q8⋊C16 | D43 | semidirect |
| 157. C43 | #12355 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147463 | 2 |
| #19136819 | 2 |
| #19136631 | 2 |
| #19133955 | 2 |
| #19132652 | 2 |
| #19132557 | 2 |
| C43×Q8⋊C16 | 2 |
| #12355 | 43 |