Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
484 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 103 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. #10610896 | C2 | semidirect |
| 3. C5×#2145 | C2 | semidirect |
| 4. #10602877 | C2 | semidirect |
| 5. #10602241 | C2 | semidirect |
| 6. #10598301 | C2 | semidirect |
| 7. #10598218 | C2 | semidirect |
| 18. #65468 | C4 | semidirect |
| 19. #65436 | C4 | semidirect |
| 36. C2×C5×Q16 | C2×C4 | semidirect |
| 38. C2×C5×D8 | C2×C4 | semidirect |
| 73. #3944 | C2×C4 | semidirect |
| 79. #2145 | D5 | semidirect |
| 208. C2×Q16 | C4×D5 | semidirect |
| 212. C2×D8 | C4×D5 | semidirect |
| 359. C5 | #13027 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615625 | 2 |
| #10610896 | 2 |
| C5×#2145 | 2 |
| #10602877 | 2 |
| #10602241 | 2 |
| #10598301 | 2 |
| #10598218 | 2 |
| #13027 | 5 |