Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
160 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 53 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. #19136876 | C2 | semidirect |
| 3. #19132801 | C2 | semidirect |
| 4. #19132800 | C2 | semidirect |
| 5. #19132792 | C2 | semidirect |
| 29. Q32×C43 | Q8 | semidirect |
| 31. D16×C43 | Q8 | semidirect |
| 96. C43 | #13710 | semidirect |
| 100. Q32 | Dic86 | semidirect |
| 102. D16 | Dic86 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136876 | 2 |
| #19136476 | 2 |
| #19132801 | 2 |
| #19132800 | 2 |
| #19132792 | 2 |
| #19132782 | 2 |
| C43×#1418 | 2 |
| #13710 | 43 |