Finite Group DatabasebetaFinite Group DatabasebetaOrder 2560.
276 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 79 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. #12011190 | C2 | semidirect |
| 3. #12011184 | C2 | semidirect |
| 4. #11986969 | C2 | semidirect |
| 5. #11986772 | C2 | semidirect |
| 6. #11986637 | C2 | semidirect |
| 7. C5×#7389 | C2 | semidirect |
| 36. #64741 | C8 | semidirect |
| 37. #64739 | C8 | semidirect |
| 51. #7389 | D5 | semidirect |
| 58. C5×Q32 | C2×C8 | semidirect |
| 60. C5×D16 | C2×C8 | semidirect |
| 79. #3926 | C2×C8 | semidirect |
| 164. Q32 | C8×D5 | semidirect |
| 168. D16 | C8×D5 | semidirect |
| 242. C5 | AGL(1,ℤ/32) | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #12019925 | 2 |
| #12011190 | 2 |
| #12011184 | 2 |
| #11986969 | 2 |
| #11986772 | 2 |
| #11986637 | 2 |
| C5×#7389 | 2 |
| AGL(1,ℤ/32) | 5 |