Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
518 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 518 conjugacy classes of subgroups — too many to draw. Only its 112 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. C2×#16840658 | C2 | semidirect |
| 2. #21460753 | C2 | direct (N × H) |
| 6. #16840658 | C22 | semidirect |
| 169. C2×C61 | #1321 | semidirect |
| 181. C61 | C2×#1321 | semidirect |
| 333. C2 | #21460753 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840658 | 2 |
| #21460753 | 2 |
| C2×#16839729 | 2 |
| C2×#1321 | 61 |