Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
153 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 153 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 4. #11716408 | C2 | semidirect |
| 5. #11716407 | C2 | semidirect |
| 78. C25 | #430 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D25⋊M16 | 2 |
| C2×#87735 | 2 |
| M16×D25 | 2 |
| #11716408 | 2 |
| #11716407 | 2 |
| #65729 | 5 |