Finite Group DatabasebetaFinite Group DatabasebetaOrder 320.
128 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 128 conjugacy classes of subgroups — too many to draw. Only its 41 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. C2×#687 | C2 | semidirect |
| 3. C2×#677 | C2 | semidirect |
| 4. #4033 | C2 | semidirect |
| 5. C5×#102 | C2 | semidirect |
| 6. #3946 | C2 | semidirect |
| 7. #3941 | C2 | semidirect |
| 36. Dic10 | D4 | semidirect |
| 45. #102 | D5 | semidirect |
| 58. Dic5 | SD16 | semidirect |
| 94. C5 | #460 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #4086 | 2 |
| C2×#687 | 2 |
| C2×#677 | 2 |
| #4033 | 2 |
| C5×#102 | 2 |
| #3946 | 2 |
| #3941 | 2 |
| #460 | 5 |