Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
432 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 35. C4×C52 | Q16 | semidirect |
| 71. C52 | #462 | semidirect |
| 74. C4×C5 | Dic20 | semidirect |
| 104. C5 | #65138 | semidirect |
| 110. C4 | #87802 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#87802 | 2 |
| #11717189 | 2 |
| C4×#6045 | 2 |
| C52×C4⋊C8 | 2 |
| #11716683 | 2 |
| #65138 | 5 |