Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
436 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 4. #21422543 | C2 | semidirect |
| 5. #21421995 | C2 | semidirect |
| 6. #21421946 | C2 | semidirect |
| 7. C59×#1985 | C2 | semidirect |
| 203. #1985 | D59 | semidirect |
| 241. C59 | #9051 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21434176 | 2 |
| #21433232 | 2 |
| #21422682 | 2 |
| #21422543 | 2 |
| #21421995 | 2 |
| #21421946 | 2 |
| C59×#1985 | 2 |
| #9051 | 59 |