Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
422 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 2. #21425885 | C2 | semidirect |
| 5. #21424840 | C2 | semidirect |
| 6. #21422179 | C2 | semidirect |
| 7. C59×#1386 | C2 | semidirect |
| 21. #16837211 | C4 | semidirect |
| 49. #14273667 | C2×C4 | semidirect |
| 70. #106×C59 | C2×C4 | semidirect |
| 113. Dic236 | C4⋊C4 | semidirect |
| 115. D472 | C4⋊C4 | semidirect |
| 181. #1386 | D59 | semidirect |
| 209. C59 | #12943 | semidirect |
| 245. #106 | C4×D59 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21432896 | 2 |
| #21425885 | 2 |
| C2×#16837211 | 2 |
| #21425809 | 2 |
| #21424840 | 2 |
| #21422179 | 2 |
| C59×#1386 | 2 |
| #12943 | 59 |