Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
460 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 460 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 |
|---|---|---|
| 2. #21424092 | C2 | semidirect |
| 3. #21422867 | C2 | semidirect |
| 6. #21421992 | C2 | semidirect |
| 7. C59×#1479 | C2 | semidirect |
| 173. #1479 | D59 | semidirect |
| 198. C59 | #10443 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16837602 | 2 |
| #21424092 | 2 |
| #21422867 | 2 |
| #21422763 | 2 |
| #21421992 | 2 |
| C59×#1479 | 2 |
| #10443 | 59 |