Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
315 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 315 conjugacy classes of subgroups — too many to draw. Only its 101 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×C22⋊Dic25 | C2 | semidirect |
| 3. #11716382 | C2 | direct (N × H) |
| 4. C24×C25 | C4 | semidirect |
| 8. C2×D4×C25 | C4 | semidirect |
| 10. C22×C4×C25 | C4 | semidirect |
| 13. C22⋊Dic25 | C22 | semidirect |
| 21. C23×C25 | C2×C4 | semidirect |
| 29. C2×C4×C25 | C2×C4 | semidirect |
| 67. C2×C25 | #99 | semidirect |
| 89. C25 | C2×#99 | semidirect |
| 106. C24 | Dic25 | semidirect |
| 110. C2×D4 | Dic25 | semidirect |
| 113. C22×C4 | Dic25 | semidirect |
| 129. C23 | C2×Dic25 | semidirect |
| 139. C2×C4 | C2×Dic25 | semidirect |
| 162. C2 | #11716382 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D4×C25 | 2 |
| C2×C22⋊Dic25 | 2 |
| #11716382 | 2 |
| C2×#3966 | 5 |