Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
452 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 95 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. #21424106 | C2 | semidirect |
| 3. #21422871 | C2 | semidirect |
| 4. #21422743 | C2 | semidirect |
| 5. #21422657 | C2 | semidirect |
| 6. #21421955 | C2 | semidirect |
| 7. C59×#1460 | C2 | semidirect |
| 190. #1460 | D59 | semidirect |
| 218. C59 | #10464 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21433560 | 2 |
| #21424106 | 2 |
| #21422871 | 2 |
| #21422743 | 2 |
| #21422657 | 2 |
| #21421955 | 2 |
| C59×#1460 | 2 |
| #10464 | 59 |