Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
620 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 620 conjugacy classes of subgroups — too many to draw. Only its 101 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×C13×#100 | C2 | semidirect |
| 3. #11718882 | C2 | semidirect |
| 4. C2×#88065 | C2 | semidirect |
| 5. #11718794 | C2 | semidirect |
| 10. #88251 | C4 | semidirect |
| 14. C2×C13×M16 | C22 | semidirect |
| 16. C2×C4⋊Dic13 | C22 | semidirect |
| 17. C2×C4×Dic13 | C22 | semidirect |
| 81. D52 | C22⋊C4 | semidirect |
| 85. Dic26 | C22⋊C4 | semidirect |
| 90. C2×#100 | D13 | semidirect |
| 119. C2×M16 | C2×D13 | semidirect |
| 165. C13 | #1792 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88251 | 2 |
| C2×C13×#100 | 2 |
| #11718882 | 2 |
| C2×#88065 | 2 |
| #11718794 | 2 |
| #1792 | 13 |