Finite Group DatabasebetaFinite Group DatabasebetaOrder 11456.
106 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 106 conjugacy classes of subgroups — too many to draw. Only its 37 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. #19153071 | C2 | semidirect |
| 3. #19153046 | C2 | semidirect |
| 4. #19153035 | C2 | semidirect |
| 5. #19153033 | C2 | semidirect |
| 6. (C2×D179)⋊C8 | C2 | semidirect |
| 7. #106×C179 | C2 | semidirect |
| 51. C179 | #482 | semidirect |
| 56. #106 | D179 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19153088 | 2 |
| #19153071 | 2 |
| #19153046 | 2 |
| #19153035 | 2 |
| #19153033 | 2 |
| (C2×D179)⋊C8 | 2 |
| #106×C179 | 2 |
| #482 | 179 |