Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
198 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 4. #11718139 | C2 | semidirect |
| 5. #11718138 | C2 | semidirect |
| 112. C13 | #1554 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#533 | 2 |
| #11718587 | 2 |
| #11718586 | 2 |
| #11718139 | 2 |
| #11718138 | 2 |
| #1554 | 13 |