Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
327 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 327 conjugacy classes of subgroups — too many to draw. Only its 93 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. C25×#95 | C2 | semidirect |
| 4. #11716379 | C2 | semidirect |
| 5. #11716379 | C2 | semidirect |
| 12. C2×C4×D25 | C4 | semidirect |
| 87. #95 | D25 | semidirect |
| 88. C25 | #381 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4×D25 | 2 |
| C2×#87720 | 2 |
| C25×#95 | 2 |
| #11716379 | 2 |
| #64953 | 5 |