Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
183 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 183 conjugacy classes of subgroups — too many to draw. Only its 73 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. C4×Dic50 | C2 | semidirect |
| 4. C4×C8×C25 | C2 | semidirect |
| 6. #11716366 | C2 | semidirect |
| 7. #11716365 | C2 | semidirect |
| 19. #87713 | C4 | direct (N × H) |
| 32. Dic50 | C2×C4 | semidirect |
| 34. C8×C25 | C2×C4 | semidirect |
| 47. C4×C25 | SD16 | semidirect |
| 90. C4×C8 | D25 | semidirect |
| 91. C25 | C4×SD16 | semidirect |
| 132. C8 | C4×D25 | semidirect |
| 142. C4 | #87713 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#87713 | 2 |
| C4×D100 | 2 |
| C4×Dic50 | 2 |
| C4×C8×C25 | 2 |
| #11716369 | 2 |
| #11716366 | 2 |
| #11716365 | 2 |
| C4×#677 | 5 |