Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
482 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 143 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 |
|---|---|---|
| 3. #21422389 | C2 | semidirect |
| 4. #21421941 | C2 | semidirect |
| 5. C59×#1281 | C2 | semidirect |
| 141. #1281 | D59 | semidirect |
| 162. C59 | #8157 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16837359 | 2 |
| #21422408 | 2 |
| #21422389 | 2 |
| #21421941 | 2 |
| C59×#1281 | 2 |
| #8157 | 59 |