Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
302 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 67 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. #13117063 | C2 | semidirect |
| 3. #13116878 | C2 | semidirect |
| 4. #13112895 | C2 | semidirect |
| 5. #13112796 | C2 | semidirect |
| 6. D4⋊#6090 | C2 | semidirect |
| 7. C13×#1669 | C2 | semidirect |
| 89. #1669 | D13 | semidirect |
| 217. C13 | #12347 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127259 | 2 |
| #13117063 | 2 |
| #13116878 | 2 |
| #13112895 | 2 |
| #13112796 | 2 |
| D4⋊#6090 | 2 |
| C13×#1669 | 2 |
| #12347 | 13 |