Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
336 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 17. C59×#330 | C4 | semidirect |
| 18. C59×#330 | C4 | semidirect |
| 19. C59×#330 | C4 | semidirect |
| 115. #330 | Dic59 | semidirect |
| 116. #330 | Dic59 | semidirect |
| 117. #330 | Dic59 | semidirect |
| 118. C59 | #8919 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21433202 | 2 |
| #21425078 | 2 |
| #21422863 | 2 |
| #21421990 | 2 |
| C59×#1526 | 2 |
| #8919 | 59 |