Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
171 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 171 conjugacy classes of subgroups — too many to draw. Only its 59 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. #11716412 | C2 | semidirect |
| 4. #11716411 | C2 | semidirect |
| 9. C2×C8×C25 | C4 | semidirect |
| 10. C2×#6014 | C4 | semidirect |
| 11. C8×D25 | C4 | semidirect |
| 12. C8×D25 | C4 | semidirect |
| 72. C25 | #427 | semidirect |
| 88. C2×C8 | #1035 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11716549 | 2 |
| C2×C8×D25 | 2 |
| #11716412 | 2 |
| #11716411 | 2 |
| #65721 | 5 |