Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
640 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 640 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 1. #21435412 | C2 | semidirect |
| 2. #21435039 | C2 | semidirect |
| 4. #21425039 | C2 | semidirect |
| 5. #21425023 | C2 | semidirect |
| 6. #21421945 | C2 | semidirect |
| 7. C59×#1502 | C2 | semidirect |
| 128. #11745664 | SD16 | semidirect |
| 208. #1502 | D59 | semidirect |
| 240. C59 | #10194 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21435412 | 2 |
| #21435039 | 2 |
| #21434549 | 2 |
| #21425039 | 2 |
| #21425023 | 2 |
| #21421945 | 2 |
| C59×#1502 | 2 |
| #10194 | 59 |