Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
256 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 256 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. C2×C13×#108 | C2 | semidirect |
| 3. C2×#88052 | C2 | semidirect |
| 4. #11718087 | C2 | direct (N × H) |
| 15. C13×#108 | C22 | semidirect |
| 17. #88052 | C22 | semidirect |
| 64. C2×#108 | D13 | semidirect |
| 91. #108 | C2×D13 | semidirect |
| 94. C2×C13 | #361 | semidirect |
| 119. C13 | C2×#361 | semidirect |
| 155. C2 | #11718087 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D104 | 2 |
| C2×C13×#108 | 2 |
| C2×#88052 | 2 |
| #11718087 | 2 |
| C2×#361 | 13 |