Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
160 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 51 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. #11718742 | C2 | semidirect |
| 5. #11718139 | C2 | semidirect |
| 6. #11718074 | C2 | semidirect |
| 7. #11718071 | C2 | semidirect |
| 118. C13 | #1699 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#474 | 2 |
| #11718742 | 2 |
| #11718680 | 2 |
| #11718673 | 2 |
| #11718139 | 2 |
| #11718074 | 2 |
| #11718071 | 2 |
| #1699 | 13 |