Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
279 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 279 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 7. C2×Q8×C25 | C4 | semidirect |
| 27. C2×Dic25 | Q8 | semidirect |
| 73. C25 | #391 | semidirect |
| 85. C2×Q8 | Dic25 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Q8×C25 | 2 |
| C2×C4⋊Dic25 | 2 |
| C2×C4×Dic25 | 2 |
| #11716379 | 2 |
| #65519 | 5 |