Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
414 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 414 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. #13113430 | C2 | semidirect |
| 4. #13113258 | C2 | semidirect |
| 6. #13113125 | C2 | semidirect |
| 7. C4×C13×#108 | C2 | semidirect |
| 122. C4×#108 | D13 | semidirect |
| 295. C13 | #9728 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125395 | 2 |
| #13113430 | 2 |
| #13113427 | 2 |
| #13113258 | 2 |
| #13113254 | 2 |
| #13113125 | 2 |
| C4×C13×#108 | 2 |
| #9728 | 13 |