Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
372 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 372 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 |
|---|---|---|
| 2. #13116635 | C2 | semidirect |
| 3. #13112799 | C2 | semidirect |
| 4. #13112796 | C2 | semidirect |
| 5. C13×#1567 | C2 | semidirect |
| 92. Dic52 | M16 | semidirect |
| 94. D104 | M16 | semidirect |
| 99. #1567 | D13 | semidirect |
| 246. C13 | #11660 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88158 | 2 |
| #13116635 | 2 |
| #13112799 | 2 |
| #13112796 | 2 |
| C13×#1567 | 2 |
| #11660 | 13 |