Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
690 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 690 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 |
|---|---|---|
| 1. #13123864 | C2 | semidirect |
| 3. #13113550 | C2 | semidirect |
| 4. #13113176 | C2 | semidirect |
| 5. #13112693 | C2 | semidirect |
| 6. #13112691 | C2 | semidirect |
| 7. C13×#1555 | C2 | semidirect |
| 59. C13×C4⋊C8 | D4 | semidirect |
| 70. C4⋊#1055 | D4 | semidirect |
| 133. #1555 | D13 | semidirect |
| 274. C4⋊C8 | C22⋊D13 | semidirect |
| 350. C13 | #9457 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123864 | 2 |
| #13119783 | 2 |
| #13113550 | 2 |
| #13113176 | 2 |
| #13112693 | 2 |
| #13112691 | 2 |
| C13×#1555 | 2 |
| #9457 | 13 |