Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
207 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 207 conjugacy classes of subgroups — too many to draw. Only its 95 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. #11716419 | C2 | direct (N × H) |
| 15. C2×Dic25 | C8 | semidirect |
| 31. Dic25 | C2×C8 | semidirect |
| 42. C2×C25 | C4⋊C8 | semidirect |
| 59. C25 | C2×C4⋊C8 | semidirect |
| 100. C2 | #11716419 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#6016 | 2 |
| C2×C4×Dic25 | 2 |
| #11716419 | 2 |
| C2×#4004 | 5 |