Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
279 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 279 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 |
|---|---|---|
| 2. D25⋊M16 | C2 | semidirect |
| 3. #11716428 | C2 | semidirect |
| 11. #87739 | C22 | semidirect |
| 60. D25 | #100 | semidirect |
| 78. C25 | C2×#100 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D4×D25 | 2 |
| D25⋊M16 | 2 |
| #11716428 | 2 |
| D5⋊#100 | 5 |