Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
279 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 279 conjugacy classes of subgroups — too many to draw. Only its 101 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. C2×#87716 | C2 | semidirect |
| 3. #11716380 | C2 | direct (N × H) |
| 11. #87716 | C22 | semidirect |
| 52. C2×C25 | #100 | semidirect |
| 69. C25 | C2×#100 | semidirect |
| 120. C2 | #11716380 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D4×C25 | 2 |
| C2×#87716 | 2 |
| #11716380 | 2 |
| C2×#3965 | 5 |