Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
338 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 16. C2×#6107 | C4 | semidirect |
| 89. C2×Dic13 | Q16 | semidirect |
| 179. C13 | #1878 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q8×Dic13 | 2 |
| C22×#6107 | 2 |
| C2×C13×#103 | 2 |
| C2×#88056 | 2 |
| #11718635 | 2 |
| #11718142 | 2 |
| #11718121 | 2 |
| #1878 | 13 |