Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
177 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 177 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 |
|---|---|---|
| 4. #11716367 | C2 | semidirect |
| 5. #11716366 | C2 | semidirect |
| 8. M16×C25 | C4 | semidirect |
| 26. C8×C25 | C2×C4 | semidirect |
| 72. C25 | #428 | semidirect |
| 85. M16 | Dic25 | semidirect |
| 106. C8 | C2×Dic25 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×M16×C25 | 2 |
| #11716488 | 2 |
| C2×C4⋊Dic25 | 2 |
| #11716367 | 2 |
| #11716366 | 2 |
| #65410 | 5 |