Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
262 conjugacy classes of subgroups; only the 136 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 136 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. #10598645 | C2 | direct (N × H) |
| 25. C2×#672 | C8 | semidirect |
| 47. #672 | C2×C8 | semidirect |
| 118. C2×C5 | #1371 | semidirect |
| 140. C5 | C2×#1371 | semidirect |
| 153. C2 | #10598645 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64882 | 2 |
| C2×C16×Dic5 | 2 |
| #10598645 | 2 |
| C2×#1371 | 5 |