Finite Group DatabasebetaFinite Group DatabasebetaOrder 3200.
832 conjugacy classes of subgroups; only the 158 normal subgroups are shown.
This group has 832 conjugacy classes of subgroups — too many to draw. Only its 158 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 |
|---|---|---|
| 11. C4⋊#6033 | C4 | semidirect |
| 12. C4×C52×C8 | C4 | semidirect |
| 14. C4×#6029 | C4 | semidirect |
| 22. C4⋊#1043 | C8 | semidirect |
| 65. C4×C5×C8 | AGL(1,𝔽5) | semidirect |
| 139. C4×C8 | #1043 | semidirect |
| 141. C52 | #1279 | semidirect |
| 200. C5 | #10598530 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C4⋊#1043 | 2 |
| #13104690 | 2 |
| C4×C8×C5⋊D5 | 2 |
| #10598530 | 5 |