Finite Group DatabasebetaFinite Group DatabasebetaOrder 15104.
438 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 101 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. #21421954 | C2 | semidirect |
| 4. #21421929 | C2 | semidirect |
| 5. C59×#2859 | C2 | semidirect |
| 119. #2859 | D59 | semidirect |
| 140. C59 | #10364 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21424924 | 2 |
| #21422655 | 2 |
| #21421954 | 2 |
| #21421929 | 2 |
| C59×#2859 | 2 |
| #10364 | 59 |