Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
387 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 387 conjugacy classes of subgroups — too many to draw. Only its 75 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×C22⋊#1035 | C2 | semidirect |
| 3. C2×C4⋊#1035 | C2 | semidirect |
| 4. C2×C4×#1035 | C2 | semidirect |
| 8. C2×D4×C25 | C4 | semidirect |
| 9. C2×C22⋊D25 | C4 | semidirect |
| 12. C2×D100 | C4 | semidirect |
| 29. C2×#1035 | D4 | semidirect |
| 55. C4×C25 | C22⋊C4 | semidirect |
| 56. Dic25 | C22⋊C4 | semidirect |
| 100. C25 | #390 | semidirect |
| 122. C2×D4 | #1035 | semidirect |
| 171. C4 | C22⋊#1035 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D4×D25 | 2 |
| C2×C22⋊#1035 | 2 |
| C2×C4⋊#1035 | 2 |
| C2×C4×#1035 | 2 |
| #65780 | 5 |