Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
177 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 177 conjugacy classes of subgroups — too many to draw. Only its 77 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. #11716363 | C2 | semidirect |
| 5. C8×Dic25 | C2 | semidirect |
| 21. C2×Dic25 | C8 | semidirect |
| 74. C25 | #431 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic25 | 2 |
| C25×C22⋊C8 | 2 |
| C22⋊#6014 | 2 |
| #11716363 | 2 |
| C8×Dic25 | 2 |
| #65007 | 5 |