Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
142 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 45 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. #11718541 | C2 | semidirect |
| 3. C13×#357 | C2 | semidirect |
| 4. #11718154 | C2 | semidirect |
| 5. #11718099 | C2 | semidirect |
| 6. #11718096 | C2 | semidirect |
| 7. #11718082 | C2 | semidirect |
| 57. #357 | D13 | semidirect |
| 105. C13 | #2234 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11718818 | 2 |
| #11718541 | 2 |
| C13×#357 | 2 |
| #11718154 | 2 |
| #11718099 | 2 |
| #11718096 | 2 |
| #11718082 | 2 |
| #2234 | 13 |