Finite Group DatabasebetaFinite Group DatabasebetaOrder 3200.
880 conjugacy classes of subgroups; only the 243 normal subgroups are shown.
This group has 880 conjugacy classes of subgroups — too many to draw. Only its 243 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. #13102557 | C2 | semidirect |
| 3. #13102556 | C2 | semidirect |
| 4. #13102543 | C2 | semidirect |
| 5. C52×#322 | C2 | semidirect |
| 32. C5×#322 | D5 | semidirect |
| 44. C52×C8 | SD16 | semidirect |
| 79. #322 | C5⋊D5 | semidirect |
| 95. C5×C8 | #677 | semidirect |
| 105. C52 | #1715 | semidirect |
| 141. C8 | #87800 | semidirect |
| 142. C5 | #10598884 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13102558 | 2 |
| #13102557 | 2 |
| #13102556 | 2 |
| #13102543 | 2 |
| C52×#322 | 2 |
| #10598884 | 5 |