Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
162 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 162 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 |
|---|---|---|
| 3. #11718692 | C2 | semidirect |
| 4. #11718685 | C2 | semidirect |
| 6. #11718074 | C2 | semidirect |
| 7. #11718072 | C2 | semidirect |
| 119. C13 | #1702 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#460 | 2 |
| #11718731 | 2 |
| #11718692 | 2 |
| #11718685 | 2 |
| #11718136 | 2 |
| #11718074 | 2 |
| #11718072 | 2 |
| #1702 | 13 |