Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
315 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 315 conjugacy classes of subgroups — too many to draw. Only its 63 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. #11716429 | C2 | direct (N × H) |
| 4. C24×C25 | C4 | semidirect |
| 9. C2×C22⋊D25 | C4 | semidirect |
| 11. C22×Dic25 | C4 | semidirect |
| 13. C22⋊#1035 | C22 | semidirect |
| 19. C23×C25 | C2×C4 | semidirect |
| 31. C2×Dic25 | C2×C4 | semidirect |
| 65. C2×C25 | #99 | semidirect |
| 89. C25 | C2×#99 | semidirect |
| 107. C24 | #1035 | semidirect |
| 132. C23 | C2×#1035 | semidirect |
| 162. C2 | #11716429 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C22⋊D25 | 2 |
| C2×C22⋊#1035 | 2 |
| #11716429 | 2 |
| C2×#4011 | 5 |