Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
507 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 507 conjugacy classes of subgroups — too many to draw. Only its 155 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. D4×#1035 | C2 | semidirect |
| 4. #11716549 | C2 | semidirect |
| 6. C22×#1035 | C22 | semidirect |
| 7. C2×D4×C25 | C4 | semidirect |
| 8. C2×C22⋊D25 | C4 | semidirect |
| 9. D4×D25 | C4 | semidirect |
| 11. C2×D100 | C4 | semidirect |
| 14. C22⋊#1035 | C22 | semidirect |
| 15. C4⋊#1035 | C22 | semidirect |
| 16. C4×#1035 | C22 | semidirect |
| 18. C23×C25 | C2×C4 | semidirect |
| 20. C22×D25 | C2×C4 | semidirect |
| 21. C22×D25 | C2×C4 | semidirect |
| 26. D4×C25 | C2×C4 | semidirect |
| 27. C2×C4×C25 | C2×C4 | semidirect |
| 28. C22⋊D25 | C2×C4 | semidirect |
| 29. C2×Dic25 | C2×C4 | semidirect |
| 30. D100 | C2×C4 | semidirect |
| 31. C4×D25 | C2×C4 | semidirect |
| 88. C25 | #518 | semidirect |
| 107. C2×D4 | #1035 | semidirect |
| 125. C23 | C2×#1035 | semidirect |
| 128. D4 | C2×#1035 | semidirect |
| 134. C2×C4 | C2×#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 |
| D4×#1035 | 2 |
| #11716549 | 2 |
| #66258 | 5 |