Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
922 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 922 conjugacy classes of subgroups — too many to draw. Only its 119 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. #21425037 | C2 | semidirect |
| 3. #21422792 | C2 | semidirect |
| 4. #21422708 | C2 | semidirect |
| 5. C59×#1467 | C2 | semidirect |
| 150. #1467 | D59 | semidirect |
| 173. C59 | #8459 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21437867 | 2 |
| #21425037 | 2 |
| #21422792 | 2 |
| #21422708 | 2 |
| C59×#1467 | 2 |
| #8459 | 59 |