Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
263 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 263 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 8. C2×#6032 | C4 | semidirect |
| 15. C2×C4×C52 | C8 | semidirect |
| 18. C2×C5×Dic5 | C8 | semidirect |
| 79. C2×C4×C5 | #168 | semidirect |
| 80. C2×C4×C5 | #170 | semidirect |
| 83. C2×Dic5 | #168 | semidirect |
| 92. C52 | #336 | semidirect |
| 161. C2×C4 | #6032 | semidirect |
| 164. C5 | #64744 | semidirect |
| 165. C5 | #64918 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#6032 | 2 |
| C2×C4×C5×Dic5 | 2 |
| #64918 | 5 |
| #64744 | 5 |