Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
436 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 98 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×#88115 | C2 | semidirect |
| 3. #11719059 | C2 | semidirect |
| 4. C4×D13⋊C8 | C2 | semidirect |
| 10. C13×#127 | C4 | semidirect |
| 12. #88194 | C4 | semidirect |
| 13. #88128 | C4 | semidirect |
| 35. D13⋊C8 | D4 | semidirect |
| 81. C4×C13 | #102 | semidirect |
| 83. Dic13 | #102 | semidirect |
| 91. #127 | #261 | semidirect |
| 126. C13 | #1957 | semidirect |
| 166. C4 | #88115 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13×#127 | 2 |
| C2×#88115 | 2 |
| #11719059 | 2 |
| C4×D13⋊C8 | 2 |
| #1957 | 13 |