Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
774 conjugacy classes of subgroups; only the 167 normal subgroups are shown.
This group has 774 conjugacy classes of subgroups — too many to draw. Only its 167 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 |
|---|---|---|
| 3. #21422786 | C2 | semidirect |
| 4. #21422551 | C2 | semidirect |
| 187. C59 | #8355 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21424891 | 2 |
| #21424088 | 2 |
| #21422786 | 2 |
| #21422551 | 2 |
| C59×#3501 | 2 |
| #8355 | 59 |