Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
564 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 165 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. C2×#88158 | C2 | semidirect |
| 2. #11719182 | C2 | semidirect |
| 3. C2×C13×#97 | C2 | semidirect |
| 4. #11718376 | C2 | semidirect |
| 5. #11718373 | C2 | semidirect |
| 27. C2×C8×C13 | D4 | semidirect |
| 55. C2×#97 | D13 | semidirect |
| 93. C2×C8 | D52 | semidirect |
| 99. C13 | #3150 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88158 | 2 |
| #11719182 | 2 |
| C2×C13×#97 | 2 |
| #11718376 | 2 |
| #11718373 | 2 |
| #3150 | 13 |