Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
344 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 78 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. C2×#88117 | C2 | semidirect |
| 4. #11719059 | C2 | semidirect |
| 5. #11719047 | C2 | semidirect |
| 11. C13×#124 | C4 | semidirect |
| 12. #88201 | C4 | semidirect |
| 13. #88190 | C4 | semidirect |
| 16. #88129 | C4 | semidirect |
| 109. #124 | #261 | semidirect |
| 152. C13 | #1959 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13×#124 | 2 |
| C2×#88117 | 2 |
| C2×#88115 | 2 |
| #11719059 | 2 |
| #11719047 | 2 |
| #1959 | 13 |