Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
147 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 147 conjugacy classes of subgroups — too many to draw. Only its 43 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 |
|---|---|---|
| 6. #87739 | C4 | semidirect |
| 11. M16×C25 | C4 | semidirect |
| 12. #87716 | C4 | semidirect |
| 73. C25 | #343 | semidirect |
| 90. M16 | #1035 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊#1035 | 2 |
| D25⋊M16 | 2 |
| M16×D25 | 2 |
| #64899 | 5 |