Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
540 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13123906 | C2 | semidirect |
| 3. #13113550 | C2 | semidirect |
| 4. #13113470 | C2 | semidirect |
| 5. #13112709 | C2 | semidirect |
| 6. #13112707 | C2 | semidirect |
| 7. C13×#1555 | C2 | semidirect |
| 107. #1555 | D13 | semidirect |
| 266. C13 | #9423 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125286 | 2 |
| #13123906 | 2 |
| #13113550 | 2 |
| #13113470 | 2 |
| #13112709 | 2 |
| #13112707 | 2 |
| C13×#1555 | 2 |
| #9423 | 13 |