Finite Group DatabasebetaFinite Group DatabasebetaOrder 11456.
110 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 110 conjugacy classes of subgroups — too many to draw. Only its 41 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. C2×#15668249 | C2 | semidirect |
| 4. #19153044 | C2 | semidirect |
| 5. #19153037 | C2 | semidirect |
| 6. #19153036 | C2 | semidirect |
| 51. C179 | #470 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668249 | 2 |
| C2×#15668243 | 2 |
| #19153092 | 2 |
| #19153044 | 2 |
| #19153037 | 2 |
| #19153036 | 2 |
| C22⋊Q8×C179 | 2 |
| #470 | 179 |