Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
210 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 1. C2×D8×C25 | C2 | semidirect |
| 2. #11716502 | C2 | semidirect |
| 3. D4×Dic25 | C2 | semidirect |
| 4. C2×#87722 | C2 | semidirect |
| 5. #11716381 | C2 | semidirect |
| 6. #11716369 | C2 | semidirect |
| 7. #11716363 | C2 | semidirect |
| 28. D4×C25 | D4 | semidirect |
| 61. Dic25 | D8 | semidirect |
| 101. C2×D8 | D25 | semidirect |
| 107. C25 | #459 | semidirect |
| 152. D4 | C22⋊D25 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D8×C25 | 2 |
| #11716502 | 2 |
| D4×Dic25 | 2 |
| C2×#87722 | 2 |
| #11716381 | 2 |
| #11716369 | 2 |
| #11716363 | 2 |
| #65439 | 5 |