Finite Group DatabasebetaFinite Group DatabasebetaOrder 11456.
120 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 51 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 |
|---|---|---|
| 2. C4×Dic358 | C2 | semidirect |
| 4. #19153047 | C2 | semidirect |
| 5. #19153038 | C2 | semidirect |
| 7. #97×C179 | C2 | semidirect |
| 11. #15668248 | C4 | semidirect |
| 22. Dic358 | C2×C4 | semidirect |
| 33. C8×C179 | C2×C4 | semidirect |
| 49. C179 | #440 | semidirect |
| 57. #97 | D179 | semidirect |
| 83. C8 | C4×D179 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668248 | 2 |
| C4×Dic358 | 2 |
| C4×D716 | 2 |
| #19153047 | 2 |
| #19153038 | 2 |
| #19153035 | 2 |
| #97×C179 | 2 |
| #440 | 179 |