Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
262 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 7. #16837178 | C4 | semidirect |
| 12. C59×#335 | C4 | semidirect |
| 19. #14273659 | C8 | semidirect |
| 99. #335 | Dic59 | semidirect |
| 101. C59 | #7175 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14273667 | 2 |
| C4×#14273659 | 2 |
| C59×#1564 | 2 |
| #7175 | 59 |