Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
256 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 256 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. #19136732 | C2 | semidirect |
| 2. #19134184 | C2 | semidirect |
| 3. D8×C43⋊C8 | C2 | semidirect |
| 4. #19132658 | C2 | semidirect |
| 5. #19132649 | C2 | semidirect |
| 6. #19132641 | C2 | semidirect |
| 55. D8×C43 | SD16 | semidirect |
| 96. C43⋊C8 | D16 | semidirect |
| 139. C43 | #12416 | semidirect |
| 174. D8 | #10621883 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136732 | 2 |
| #19134184 | 2 |
| D8×C43⋊C8 | 2 |
| #19132658 | 2 |
| #19132649 | 2 |
| #19132641 | 2 |
| C43×#2206 | 2 |
| #12416 | 43 |