Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
872 conjugacy classes of subgroups; only the 315 normal subgroups are shown.
This group has 872 conjugacy classes of subgroups — too many to draw. Only its 315 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. #21422734 | C2 | semidirect |
| 3. #21422698 | C2 | semidirect |
| 4. #21422691 | C2 | semidirect |
| 119. C59 | #17692 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21433116 | 2 |
| #21422734 | 2 |
| #21422698 | 2 |
| #21422691 | 2 |
| C59×#3504 | 2 |
| #17692 | 59 |