Finite Group DatabasebetaFinite Group DatabasebetaOrder 3200.
1422 conjugacy classes of subgroups; only the 342 normal subgroups are shown.
This group has 1422 conjugacy classes of subgroups — too many to draw. Only its 342 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 |
|---|---|---|
| 3. #13104839 | C2 | semidirect |
| 4. C4×#87863 | C2 | semidirect |
| 5. #13104814 | C2 | semidirect |
| 7. #11717454 | C4 | semidirect |
| 29. #87863 | C2×C4 | semidirect |
| 30. #87862 | C2×C4 | semidirect |
| 171. C52 | #2875 | semidirect |
| 234. C5 | #10617184 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11717454 | 2 |
| C4×#87904 | 2 |
| #13104839 | 2 |
| C4×#87863 | 2 |
| #13104814 | 2 |
| #10617184 | 5 |