Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
141 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 141 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 23. #6016 | Q8 | semidirect |
| 62. C25 | #446 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic25 | 2 |
| #11716419 | 2 |
| #11716417 | 2 |
| C4⋊#6016 | 2 |
| C4×#6016 | 2 |
| #65788 | 5 |