Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
1006 conjugacy classes of subgroups; only the 459 normal subgroups are shown.
This group has 1006 conjugacy classes of subgroups — too many to draw. Only its 459 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 |
|---|---|---|
| 26. C4×C8×C61 | Q8 | semidirect |
| 51. C8×C61 | C4⋊Q8 | semidirect |
| 57. C4×C61 | #498 | semidirect |
| 76. C61 | #33310 | semidirect |
| 88. C4×C8 | Dic122 | semidirect |
| 114. C8 | #14519777 | semidirect |
| 120. C4 | #16840160 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840160 | 2 |
| #21454217 | 2 |
| #21445976 | 2 |
| C42×C8×C61 | 2 |
| #33310 | 61 |