Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
180 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 65 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. #11716431 | C2 | semidirect |
| 4. #11716357 | C2 | semidirect |
| 5. C4⋊#6014 | C2 | semidirect |
| 40. C4×C25 | SD16 | semidirect |
| 76. C25 | #461 | semidirect |
| 121. C4 | #87721 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D4×C25 | 2 |
| C2×#87721 | 2 |
| #11716431 | 2 |
| #11716357 | 2 |
| C4⋊#6014 | 2 |
| #65308 | 5 |