Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
384 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 159 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 |
|---|---|---|
| 34. C3×C5×C8 | Q16 | semidirect |
| 64. C5×C8 | Dic12 | semidirect |
| 77. C3×C8 | Dic20 | semidirect |
| 88. C3×C5 | #1713 | semidirect |
| 100. C8 | Dic60 | semidirect |
| 103. C5 | #68065 | semidirect |
| 108. C3 | #10598858 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750800 | 2 |
| #11750783 | 2 |
| C3×C5×C82 | 2 |
| #10598858 | 3 |
| #68065 | 5 |