Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
206 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 206 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 62. C16×C59 | Q16 | semidirect |
| 120. C59 | #12053 | semidirect |
| 162. C16 | Dic236 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21426004 | 2 |
| C16×Dic118 | 2 |
| C8×Dic236 | 2 |
| #21422166 | 2 |
| #21422076 | 2 |
| C59×#1311 | 2 |
| #12053 | 59 |