Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
351 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 351 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×C4⋊Dic25 | C2 | semidirect |
| 4. #11716379 | C2 | semidirect |
| 7. C22×C4×C25 | C4 | semidirect |
| 36. C22×C25 | C4⋊C4 | semidirect |
| 43. C4×C25 | C22⋊C4 | semidirect |
| 78. C25 | #380 | semidirect |
| 95. C22×C4 | Dic25 | semidirect |
| 125. C22 | C4⋊Dic25 | semidirect |
| 133. C4 | C22⋊Dic25 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C4×C25 | 2 |
| C2×C22⋊Dic25 | 2 |
| C2×C4⋊Dic25 | 2 |
| #11716379 | 2 |
| #65501 | 5 |