Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
172 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 59 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. #21426372 | C2 | semidirect |
| 4. #21422171 | C2 | semidirect |
| 5. #21422157 | C2 | semidirect |
| 6. #21422156 | C2 | semidirect |
| 108. C59 | #12464 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21426372 | 2 |
| #21426272 | 2 |
| #21425933 | 2 |
| #21422171 | 2 |
| #21422157 | 2 |
| #21422156 | 2 |
| C59×#2231 | 2 |
| #12464 | 59 |