Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
232 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 67 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. C13×#330 | C2 | semidirect |
| 4. #11718135 | C2 | semidirect |
| 5. #11718057 | C2 | semidirect |
| 50. #330 | D13 | direct (N × H) |
| 73. D13 | #330 | direct (N × H) |
| 90. C13 | C2×#330 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13×#125 | 2 |
| D13×#97 | 2 |
| C13×#330 | 2 |
| #11718135 | 2 |
| #11718057 | 2 |
| C2×#330 | 13 |