Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
222 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 41 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 |
|---|---|---|
| 2. C4×#6039 | C2 | semidirect |
| 4. #11716895 | C2 | semidirect |
| 5. #11716801 | C2 | semidirect |
| 6. #11716798 | C2 | semidirect |
| 13. #87838 | C4 | semidirect |
| 28. #6039 | C2×C4 | semidirect |
| 33. #6034 | C2×C4 | semidirect |
| 102. C52 | #440 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#87838 | 2 |
| C4×#6039 | 2 |
| #11717020 | 2 |
| #11716895 | 2 |
| #11716801 | 2 |
| #11716798 | 2 |
| #11716797 | 2 |
| #440 | 25 |