Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
150 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 43 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. #11718842 | C2 | semidirect |
| 5. C13×#362 | C2 | semidirect |
| 6. #11718103 | C2 | semidirect |
| 7. #11718088 | C2 | semidirect |
| 68. #362 | D13 | semidirect |
| 116. C13 | #2214 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11718842 | 2 |
| #11718840 | 2 |
| #11718570 | 2 |
| #11718556 | 2 |
| C13×#362 | 2 |
| #11718103 | 2 |
| #11718088 | 2 |
| #2214 | 13 |