Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
284 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 76 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 |
|---|---|---|
| 42. C4×C52 | Q16 | semidirect |
| 109. C52 | #462 | semidirect |
| 121. C4×C5 | Dic20 | semidirect |
| 122. C4×C5 | #689 | semidirect |
| 163. C5 | #65138 | semidirect |
| 164. C5 | #65320 | semidirect |
| 170. C4 | #87776 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11717189 | 2 |
| C4×C5×Dic10 | 2 |
| C2×#87776 | 2 |
| C5×C4⋊#168 | 2 |
| #11716608 | 2 |
| #65320 | 5 |
| #65138 | 5 |