Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
310 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 16. Dic59⋊C16 | C4 | semidirect |
| 111. Dic59 | #365 | semidirect |
| 137. C59 | #13183 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16837226 | 2 |
| #21425851 | 2 |
| #21424251 | 2 |
| #108×Dic59 | 2 |
| #21422195 | 2 |
| #21422194 | 2 |
| C2×C59×#365 | 2 |
| #13183 | 59 |