Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
210 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 85. C59⋊C8 | Q32 | semidirect |
| 122. C59 | #12072 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14273673 | 2 |
| #21422993 | 2 |
| #21422902 | 2 |
| #21422167 | 2 |
| #21422061 | 2 |
| #21422015 | 2 |
| C59×#1332 | 2 |
| #12072 | 59 |