Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
494 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 147 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. #21424256 | C2 | semidirect |
| 3. #21424223 | C2 | semidirect |
| 4. C59⋊#1273 | C2 | semidirect |
| 123. C59 | #10671 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21424903 | 2 |
| #21424256 | 2 |
| #21424223 | 2 |
| C59⋊#1273 | 2 |
| C59×#1957 | 2 |
| #10671 | 59 |