Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
338 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 188. C59 | #10511 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21425054 | 2 |
| #21422882 | 2 |
| #21422796 | 2 |
| #21422595 | 2 |
| #21422452 | 2 |
| #21421953 | 2 |
| C59×#3236 | 2 |
| #10511 | 59 |