Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1060 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 1060 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13125584 | C2 | semidirect |
| 2. C2×#11718878 | C2 | semidirect |
| 3. #13115672 | C2 | semidirect |
| 4. #13114767 | C2 | semidirect |
| 5. #13113404 | C2 | semidirect |
| 6. #13112684 | C2 | semidirect |
| 7. C13×#2433 | C2 | semidirect |
| 44. C22×D52 | D4 | semidirect |
| 67. C2×C4⋊Dic13 | D4 | semidirect |
| 69. C22×#1055 | D4 | semidirect |
| 78. C22⋊#1055 | D4 | semidirect |
| 140. C13×C22⋊C4 | D8 | semidirect |
| 156. #2433 | D13 | semidirect |
| 419. C22⋊C4 | #6104 | semidirect |
| 421. C13 | #9946 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125584 | 2 |
| C2×#11718878 | 2 |
| #13115672 | 2 |
| #13114767 | 2 |
| #13113404 | 2 |
| #13112684 | 2 |
| C13×#2433 | 2 |
| #9946 | 13 |