Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
490 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 85 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. #21434227 | C2 | semidirect |
| 4. #21425035 | C2 | semidirect |
| 5. #21422712 | C2 | semidirect |
| 7. C59×#1290 | C2 | semidirect |
| 195. #1290 | D59 | semidirect |
| 226. C59 | #10029 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21435413 | 2 |
| #21434227 | 2 |
| #21434219 | 2 |
| #21425035 | 2 |
| #21422712 | 2 |
| #21422708 | 2 |
| C59×#1290 | 2 |
| #10029 | 59 |