Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
114 conjugacy classes of subgroups; only the 26 normal subgroups are shown.
This group has 114 conjugacy classes of subgroups — too many to draw. Only its 26 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. #11718267 | C2 | semidirect |
| 3. #11718263 | C2 | semidirect |
| 5. C2×D104 | C4 | semidirect |
| 9. C13×#106 | C4 | semidirect |
| 57. #106 | #261 | semidirect |
| 76. C13 | #1339 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11718526 | 2 |
| #11718267 | 2 |
| #11718263 | 2 |
| #1339 | 13 |