Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
560 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 26. C22⋊(C59⋊C8) | Q8 | semidirect |
| 30. C59⋊#95 | Q8 | semidirect |
| 207. C59 | #10569 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21424283 | 2 |
| #21422352 | 2 |
| #21421974 | 2 |
| #21421939 | 2 |
| C59×#2659 | 2 |
| #10569 | 59 |