Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
566 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 566 conjugacy classes of subgroups — too many to draw. Only its 101 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. #21427387 | C2 | semidirect |
| 4. #21422526 | C2 | semidirect |
| 5. #21422525 | C2 | semidirect |
| 6. #21421924 | C2 | semidirect |
| 131. C4×Dic59 | SD16 | semidirect |
| 237. C59 | #10014 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21434123 | 2 |
| #21427387 | 2 |
| #21424929 | 2 |
| #21422526 | 2 |
| #21422525 | 2 |
| #21421924 | 2 |
| C59×#3103 | 2 |
| #10014 | 59 |