Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
410 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 179. C61 | #7619 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14519769 | 2 |
| #21445568 | 2 |
| #21443643 | 2 |
| #21443641 | 2 |
| C61×#1831 | 2 |
| #7619 | 61 |