Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
231 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 231 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 8. C42×C25 | C4 | semidirect |
| 9. C4×Dic25 | C4 | semidirect |
| 10. C4×Dic25 | C4 | semidirect |
| 59. C25 | #382 | semidirect |
| 75. C42 | #1035 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊#1035 | 2 |
| C42×D25 | 2 |
| (C2×#1035)⋊C4 | 2 |
| #65689 | 5 |