Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
492 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 3. #10604985 | C2 | semidirect |
| 4. #10604968 | C2 | semidirect |
| 6. #10598563 | C2 | semidirect |
| 7. #10598556 | C2 | semidirect |
| 134. C2×#170 | SD16 | semidirect |
| 428. C5 | #9047 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617228 | 2 |
| #10611759 | 2 |
| #10604985 | 2 |
| #10604968 | 2 |
| #10604485 | 2 |
| #10598563 | 2 |
| #10598556 | 2 |
| #9047 | 5 |