Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
166 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 6. #16837236 | C4 | semidirect |
| 13. C59×#368 | C4 | semidirect |
| 82. #368 | Dic59 | semidirect |
| 85. C59 | #7480 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16837236 | 2 |
| #21425880 | 2 |
| C2×C59×#368 | 2 |
| #7480 | 59 |