Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
177 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 177 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 |
|---|---|---|
| 1. C25×C4⋊Q8 | C2 | semidirect |
| 3. #11716358 | C2 | semidirect |
| 4. C4×#6014 | C2 | semidirect |
| 59. C4⋊Q8 | D25 | semidirect |
| 63. C25 | #486 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C25×C4⋊Q8 | 2 |
| #11716436 | 2 |
| #11716358 | 2 |
| C4×#6014 | 2 |
| #65377 | 5 |