Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
594 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 594 conjugacy classes of subgroups — too many to draw. Only its 111 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. #10605609 | C2 | semidirect |
| 5. #10600717 | C2 | semidirect |
| 6. #10598169 | C2 | semidirect |
| 7. #10598116 | C2 | semidirect |
| 15. C2×#3964 | C4 | semidirect |
| 24. C2×#3939 | C4 | semidirect |
| 421. C5 | #9260 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#65322 | 2 |
| #10605609 | 2 |
| C5×#1519 | 2 |
| #10602479 | 2 |
| #10600717 | 2 |
| #10598169 | 2 |
| #10598116 | 2 |
| #9260 | 5 |