Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
164 conjugacy classes of subgroups; only the 35 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 35 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 |
|---|---|---|
| 60. C52 | #499 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11716989 | 2 |
| C4×#6034 | 2 |
| #11716801 | 2 |
| #11716800 | 2 |
| #499 | 25 |