Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
186 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 15. C13×#107 | C4 | semidirect |
| 16. C13×#107 | C4 | semidirect |
| 17. C13×#106 | C4 | semidirect |
| 18. C13×#106 | C4 | semidirect |
| 98. #107 | Dic13 | semidirect |
| 99. #107 | Dic13 | semidirect |
| 100. #106 | Dic13 | semidirect |
| 101. #106 | Dic13 | semidirect |
| 137. C13 | #1922 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#427 | 2 |
| #11718660 | 2 |
| #11718658 | 2 |
| #11718144 | 2 |
| #11718142 | 2 |
| #11718124 | 2 |
| #1922 | 13 |