Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
544 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 81 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. #13125835 | C2 | semidirect |
| 3. #13113305 | C2 | semidirect |
| 4. #13113257 | C2 | semidirect |
| 5. #13113189 | C2 | semidirect |
| 6. #13112709 | C2 | semidirect |
| 7. C13×#3235 | C2 | semidirect |
| 137. #3235 | D13 | semidirect |
| 337. C13 | #10121 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125835 | 2 |
| #13125304 | 2 |
| #13113305 | 2 |
| #13113257 | 2 |
| #13113189 | 2 |
| #13112709 | 2 |
| C13×#3235 | 2 |
| #10121 | 13 |