Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
207 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 207 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 4. #11716363 | C2 | direct (N × H) |
| 21. C2×Dic25 | C8 | semidirect |
| 38. Dic25 | C2×C8 | semidirect |
| 49. C2×C25 | C4⋊C8 | semidirect |
| 68. C25 | C2×C4⋊C8 | semidirect |
| 112. C2 | #11716363 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C8×C25 | 2 |
| C2×C4×Dic25 | 2 |
| C22×#6014 | 2 |
| #11716363 | 2 |
| C2×#3946 | 5 |