Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
400 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 109 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. #11717208 | C2 | semidirect |
| 5. #11716683 | C2 | semidirect |
| 6. #11716682 | C2 | semidirect |
| 7. #11716677 | C2 | semidirect |
| 89. C52 | #489 | semidirect |
| 130. C5 | #65054 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11717256 | 2 |
| #11717208 | 2 |
| C52×#102 | 2 |
| #11716699 | 2 |
| #11716683 | 2 |
| #11716682 | 2 |
| #11716677 | 2 |
| #65054 | 5 |