Finite Group DatabasebetaFinite Group DatabasebetaOrder 11456.
152 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 43 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. C2×#15668249 | C2 | semidirect |
| 3. #19153089 | C2 | semidirect |
| 4. #19153038 | C2 | semidirect |
| 5. #19153034 | C2 | semidirect |
| 6. (C2×D179)⋊C8 | C2 | semidirect |
| 7. C2×SD16×C179 | C2 | semidirect |
| 60. C179 | #452 | semidirect |
| 64. C2×SD16 | D179 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668258 | 2 |
| C2×#15668249 | 2 |
| #19153089 | 2 |
| #19153038 | 2 |
| #19153034 | 2 |
| (C2×D179)⋊C8 | 2 |
| C2×SD16×C179 | 2 |
| #452 | 179 |