Finite Group DatabasebetaFinite Group DatabasebetaOrder 32192.
162 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 63 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×#22548867 | C2 | semidirect |
| 3. #30632787 | C2 | semidirect |
| 4. #30632784 | C2 | semidirect |
| 5. C2×C4⋊C4×C503 | C2 | semidirect |
| 7. #22548883 | C4 | semidirect |
| 20. Dic1006 | C2×C4 | semidirect |
| 22. D2012 | C2×C4 | semidirect |
| 51. C503 | #417 | semidirect |
| 55. C2×C4⋊C4 | D503 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22548883 | 2 |
| C2×#22548867 | 2 |
| #30632787 | 2 |
| #30632784 | 2 |
| C2×C4⋊C4×C503 | 2 |
| #417 | 503 |