Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
480 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 145 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×#88198 | C2 | semidirect |
| 5. #11718886 | C2 | semidirect |
| 6. #11718843 | C2 | semidirect |
| 7. #11718823 | C2 | semidirect |
| 8. #11718781 | C2 | semidirect |
| 9. #11718779 | C2 | semidirect |
| 126. Dic13 | #137 | semidirect |
| 194. C13 | #3039 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C13×#137 | 2 |
| #41×Dic13 | 2 |
| C2×#88205 | 2 |
| C2×#88198 | 2 |
| #11718886 | 2 |
| #11718843 | 2 |
| #11718823 | 2 |
| #11718781 | 2 |
| #11718779 | 2 |
| #3039 | 13 |