Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
220 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 4. #13112905 | C2 | semidirect |
| 5. #13112905 | C2 | semidirect |
| 6. #13112900 | C2 | semidirect |
| 7. C13×#1367 | C2 | semidirect |
| 75. #1367 | D13 | semidirect |
| 175. C13 | #12014 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116638 | 2 |
| #13116634 | 2 |
| #13113118 | 2 |
| #13112905 | 2 |
| #13112900 | 2 |
| C13×#1367 | 2 |
| #12014 | 13 |