Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
148 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 148 conjugacy classes of subgroups — too many to draw. Only its 45 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×C13×D16 | C2 | semidirect |
| 2. #11718821 | C2 | semidirect |
| 3. #11718562 | C2 | semidirect |
| 4. #11718155 | C2 | semidirect |
| 5. #11718098 | C2 | semidirect |
| 44. C2×D16 | D13 | semidirect |
| 85. C13 | #2221 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C13×D16 | 2 |
| #11718821 | 2 |
| #11718562 | 2 |
| #11718155 | 2 |
| #11718098 | 2 |
| #2221 | 13 |