Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
336 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 93. Dic26 | Q16 | semidirect |
| 185. C13 | #3363 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719272 | 2 |
| Q8×Dic26 | 2 |
| C4×C13×Q16 | 2 |
| #11718843 | 2 |
| #11718692 | 2 |
| #11718682 | 2 |
| #11718536 | 2 |
| #11718453 | 2 |
| #11718451 | 2 |
| #11718342 | 2 |
| C8×Dic26 | 2 |
| #3363 | 13 |