Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
306 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 161. C59 | #10606 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21425086 | 2 |
| #21424872 | 2 |
| #21422870 | 2 |
| #21422846 | 2 |
| #21422781 | 2 |
| #21421971 | 2 |
| C2×C59×#332 | 2 |
| #10606 | 59 |