Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
237 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 237 conjugacy classes of subgroups — too many to draw. Only its 95 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. #11716488 | C2 | semidirect |
| 3. #11716382 | C2 | semidirect |
| 6. C2×Q8×C25 | C4 | semidirect |
| 7. C2×D4×C25 | C4 | semidirect |
| 9. C22×C4×C25 | C4 | semidirect |
| 72. C25 | #410 | semidirect |
| 85. C2×Q8 | Dic25 | semidirect |
| 86. C2×D4 | Dic25 | semidirect |
| 88. C22×C4 | Dic25 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#41×C25 | 2 |
| #11716488 | 2 |
| #11716382 | 2 |
| #65529 | 5 |