Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
432 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 109 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. #21424819 | C2 | semidirect |
| 3. #21422871 | C2 | semidirect |
| 6. #21421998 | C2 | semidirect |
| 7. C59×#1281 | C2 | semidirect |
| 165. #1281 | D59 | semidirect |
| 189. C59 | #8878 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21432815 | 2 |
| #21424819 | 2 |
| #21422871 | 2 |
| #21422592 | 2 |
| #21422496 | 2 |
| #21421998 | 2 |
| C59×#1281 | 2 |
| #8878 | 59 |