Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
444 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 3. #11718890 | C2 | semidirect |
| 5. #11718647 | C2 | semidirect |
| 6. #11718643 | C2 | semidirect |
| 7. #11718640 | C2 | semidirect |
| 141. C13 | #2817 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C13×C22⋊Q8 | 2 |
| C2×#88178 | 2 |
| #11718890 | 2 |
| #11718872 | 2 |
| #11718647 | 2 |
| #11718643 | 2 |
| #11718640 | 2 |
| #11718613 | 2 |
| #2817 | 13 |