Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
310 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 157. C59 | #10632 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21424917 | 2 |
| #21424270 | 2 |
| #21422768 | 2 |
| #21421956 | 2 |
| #21421955 | 2 |
| #21421940 | 2 |
| C59×#1546 | 2 |
| #10632 | 59 |