Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
182 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 182 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 |
|---|---|---|
| 3. #21425966 | C2 | semidirect |
| 4. #21422301 | C2 | semidirect |
| 5. #21422290 | C2 | semidirect |
| 6. #21422231 | C2 | semidirect |
| 11. #16837242 | C4 | semidirect |
| 12. #16837240 | C4 | semidirect |
| 104. C59 | #13657 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21426413 | 2 |
| #21425982 | 2 |
| #21425966 | 2 |
| #21422301 | 2 |
| #21422290 | 2 |
| #21422231 | 2 |
| C59×#1418 | 2 |
| #13657 | 59 |