Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
351 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 351 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 |
|---|---|---|
| 3. C2×C4⋊#1035 | C2 | semidirect |
| 5. (C2×#1035)⋊C4 | C2 | semidirect |
| 15. C22⋊C4×C25 | C4 | semidirect |
| 16. C22⋊Dic25 | C4 | semidirect |
| 17. #87720 | C4 | semidirect |
| 34. C2×C4×C25 | C2×C4 | semidirect |
| 35. C2×Dic25 | C2×C4 | semidirect |
| 44. C22×C25 | C4⋊C4 | semidirect |
| 50. C2×D25 | C4⋊C4 | semidirect |
| 104. C25 | #385 | semidirect |
| 133. C22⋊C4 | #1035 | semidirect |
| 159. C2×C4 | C2×#1035 | semidirect |
| 171. C22 | C4⋊#1035 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×#1035 | 2 |
| C2×C22⋊#1035 | 2 |
| C2×C4⋊#1035 | 2 |
| C22⋊C4×D25 | 2 |
| (C2×#1035)⋊C4 | 2 |
| #65699 | 5 |