Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
408 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 99 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. #21422871 | C2 | semidirect |
| 4. #21422780 | C2 | semidirect |
| 5. #21422776 | C2 | semidirect |
| 6. #21421992 | C2 | semidirect |
| 186. C59 | #10453 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16837692 | 2 |
| #21424088 | 2 |
| #21422871 | 2 |
| #21422780 | 2 |
| #21422776 | 2 |
| #21421992 | 2 |
| C59×#1478 | 2 |
| #10453 | 59 |