Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
270 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 97 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. C2×#88059 | C2 | semidirect |
| 5. #11718660 | C2 | semidirect |
| 6. #11718142 | C2 | semidirect |
| 7. #11718124 | C2 | semidirect |
| 19. C13×#103 | C4 | semidirect |
| 20. C13×#103 | C4 | semidirect |
| 21. C13×#102 | C4 | semidirect |
| 22. C13×#102 | C4 | semidirect |
| 126. #103 | Dic13 | semidirect |
| 127. #103 | Dic13 | semidirect |
| 128. #102 | Dic13 | semidirect |
| 129. #102 | Dic13 | semidirect |
| 168. C13 | #1866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88202 | 2 |
| C13×#416 | 2 |
| C2×#88077 | 2 |
| C2×#88059 | 2 |
| #11718660 | 2 |
| #11718142 | 2 |
| #11718124 | 2 |
| #1866 | 13 |