Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
126 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 126 conjugacy classes of subgroups — too many to draw. Only its 47 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. #21422313 | C2 | semidirect |
| 3. #21422310 | C2 | semidirect |
| 4. #21422307 | C2 | semidirect |
| 5. C2×C59×Q64 | C2 | semidirect |
| 53. C2×Q64 | D59 | semidirect |
| 69. C59 | #13743 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21426405 | 2 |
| #21422313 | 2 |
| #21422310 | 2 |
| #21422307 | 2 |
| C2×C59×Q64 | 2 |
| #13743 | 59 |