Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
218 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 41. Dic236 | C16 | direct (N × H) |
| 44. C16×C59 | Q16 | semidirect |
| 87. C59 | C16×Q16 | semidirect |
| 117. C16 | Dic236 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C16×Dic118 | 2 |
| C8×Dic236 | 2 |
| #21422166 | 2 |
| #21422076 | 2 |
| C8×C16×C59 | 2 |
| C16×Q16 | 59 |