Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
302 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 79 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. #21448099 | C2 | semidirect |
| 3. #21448043 | C2 | semidirect |
| 4. #21445412 | C2 | semidirect |
| 5. #21445408 | C2 | semidirect |
| 6. #21443735 | C2 | semidirect |
| 7. C61×#2240 | C2 | semidirect |
| 69. #11758185 | SD16 | semidirect |
| 108. #2240 | D61 | semidirect |
| 132. C61 | #12506 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21448099 | 2 |
| #21448068 | 2 |
| #21448043 | 2 |
| #21445412 | 2 |
| #21445408 | 2 |
| #21443735 | 2 |
| C61×#2240 | 2 |
| #12506 | 61 |