Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
516 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 516 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 13. #16837197 | C4 | semidirect |
| 54. C2×Q8×C59 | C4⋊C4 | semidirect |
| 81. C42×C59 | C4⋊C4 | semidirect |
| 177. C59 | #12967 | semidirect |
| 212. C2×Q8 | Dic59⋊C4 | semidirect |
| 248. C42 | Dic59⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21427270 | 2 |
| C2×#16837197 | 2 |
| #21424377 | 2 |
| #21422215 | 2 |
| C59×#1885 | 2 |
| #12967 | 59 |