Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
372 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 88 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. #13131194 | C2 | semidirect |
| 2. #13130393 | C2 | semidirect |
| 3. #13129792 | C2 | semidirect |
| 4. #13129790 | C2 | semidirect |
| 71. C13×Q16 | M16 | semidirect |
| 74. C13×D8 | M16 | semidirect |
| 218. Q16 | #6122 | semidirect |
| 221. D8 | #6122 | semidirect |
| 246. C13 | #11660 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131194 | 2 |
| #13130393 | 2 |
| #13129792 | 2 |
| #13129790 | 2 |
| #135×Dic13 | 2 |
| #11660 | 13 |