Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
170 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 49 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 |
|---|---|---|
| 2. #11718731 | C2 | semidirect |
| 3. #11718503 | C2 | semidirect |
| 4. #11718499 | C2 | semidirect |
| 5. C13×#331 | C2 | semidirect |
| 6. #11718073 | C2 | semidirect |
| 7. #11718071 | C2 | semidirect |
| 70. #331 | D13 | semidirect |
| 123. C13 | #1697 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11718733 | 2 |
| #11718731 | 2 |
| #11718503 | 2 |
| #11718499 | 2 |
| C13×#331 | 2 |
| #11718073 | 2 |
| #11718071 | 2 |
| #1697 | 13 |