Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
254 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 254 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 |
| 105. C52 | #462 | semidirect |
| 118. C4×C5 | #689 | semidirect |
| 119. C4×C5 | #689 | semidirect |
| 158. C5 | #65320 | semidirect |
| 159. C5 | #65379 | semidirect |
| 165. C4 | #87775 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#4015 | 2 |
| C4×C5×Dic10 | 2 |
| C2×#87775 | 2 |
| C4⋊#6029 | 2 |
| #11716606 | 2 |
| #65379 | 5 |
| #65320 | 5 |