Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
252 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 85 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. #11718587 | C2 | semidirect |
| 3. C2×C4⋊#1055 | C2 | semidirect |
| 4. #11718138 | C2 | semidirect |
| 5. #11718136 | C2 | semidirect |
| 126. C13 | #1551 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#532 | 2 |
| #11718587 | 2 |
| C2×C4⋊#1055 | 2 |
| #11718138 | 2 |
| #11718136 | 2 |
| #1551 | 13 |