Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
184 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 53 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 |
|---|---|---|
| 1. C13×#460 | C2 | semidirect |
| 3. #11718688 | C2 | semidirect |
| 4. #11718685 | C2 | semidirect |
| 5. #11718136 | C2 | semidirect |
| 6. #11718077 | C2 | semidirect |
| 7. #11718072 | C2 | semidirect |
| 67. #1055 | SD16 | semidirect |
| 70. #460 | D13 | semidirect |
| 129. C13 | #1688 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#460 | 2 |
| #11718734 | 2 |
| #11718688 | 2 |
| #11718685 | 2 |
| #11718136 | 2 |
| #11718077 | 2 |
| #11718072 | 2 |
| #1688 | 13 |