Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
258 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 73 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. #11718901 | C2 | semidirect |
| 3. #11718137 | C2 | semidirect |
| 4. #11718133 | C2 | semidirect |
| 5. C2×C13×#41 | C4 | semidirect |
| 7. C13×C4⋊Q8 | C4 | semidirect |
| 9. C13×#124 | C4 | semidirect |
| 13. C2×C42×C13 | C4 | semidirect |
| 85. C2×#41 | Dic13 | semidirect |
| 87. C4⋊Q8 | Dic13 | semidirect |
| 89. #124 | Dic13 | semidirect |
| 94. C2×C42 | Dic13 | semidirect |
| 126. C13 | #2126 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#532 | 2 |
| #11718901 | 2 |
| #11718137 | 2 |
| #11718133 | 2 |
| #2126 | 13 |