Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
298 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 298 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 78. C8×C59 | #108 | semidirect |
| 118. C59 | #9623 | semidirect |
| 181. C8 | #14273662 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21424869 | 2 |
| C2×#16837153 | 2 |
| C8×#11745664 | 2 |
| #21421991 | 2 |
| C59×#1566 | 2 |
| #9623 | 59 |