Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
144 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 17. Q8×C25 | Q8 | semidirect |
| 67. C25 | #477 | semidirect |
| 90. Q8 | Dic50 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×Q8×C25 | 2 |
| #11716431 | 2 |
| #11716384 | 2 |
| #11716355 | 2 |
| C4⋊#6014 | 2 |
| #65310 | 5 |