Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
2070 conjugacy classes of subgroups; only the 651 normal subgroups are shown.
This group has 2070 conjugacy classes of subgroups — too many to draw. Only its 651 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. #21422361 | C2 | semidirect |
| 9. C2×#95×C59 | C4 | semidirect |
| 33. C22×C4×C59 | C4⋊C4 | semidirect |
| 95. C2×#95 | Dic59 | semidirect |
| 97. C59 | #14353 | semidirect |
| 123. C22×C4 | C4⋊Dic59 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16837262 | 2 |
| #21422361 | 2 |
| C22×#95×C59 | 2 |
| #14353 | 59 |