Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
460 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 460 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. #21422420 | C2 | semidirect |
| 3. #21422039 | C2 | semidirect |
| 5. C59×#1461 | C2 | semidirect |
| 26. #14273716 | C8 | semidirect |
| 174. #1461 | D59 | semidirect |
| 200. C59 | #11476 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14273716 | 2 |
| #21422420 | 2 |
| #21422039 | 2 |
| #21422027 | 2 |
| C59×#1461 | 2 |
| #11476 | 59 |