Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
436 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 145 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×#88072 | C2 | semidirect |
| 3. #11718596 | C2 | semidirect |
| 4. C2×C4×#1055 | C2 | semidirect |
| 8. C13×#127 | C4 | semidirect |
| 32. C2×#1055 | D4 | semidirect |
| 67. C4×C13 | #102 | semidirect |
| 75. #127 | Dic13 | semidirect |
| 105. C13 | #1957 | semidirect |
| 136. C4 | #88072 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C13×#127 | 2 |
| C2×#88072 | 2 |
| #11718596 | 2 |
| C2×C4×#1055 | 2 |
| #1957 | 13 |