Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1018 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 1018 conjugacy classes of subgroups — too many to draw. Only its 105 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. C2×#11718707 | C2 | semidirect |
| 3. #13115822 | C2 | semidirect |
| 4. #13114768 | C2 | semidirect |
| 5. #13113404 | C2 | semidirect |
| 6. #13112683 | C2 | semidirect |
| 7. C13×#3187 | C2 | semidirect |
| 32. C22×Q8×C13 | D4 | semidirect |
| 45. C22×C8×C13 | D4 | semidirect |
| 56. C2×C13×C4⋊C4 | D4 | semidirect |
| 78. C22⋊#1055 | D4 | semidirect |
| 144. C22⋊Dic13 | SD16 | semidirect |
| 151. #3187 | D13 | semidirect |
| 279. C22×Q8 | C22⋊D13 | semidirect |
| 295. C22×C8 | C22⋊D13 | semidirect |
| 310. C2×C4⋊C4 | C22⋊D13 | semidirect |
| 406. C13 | #9954 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718707 | 2 |
| #13118474 | 2 |
| #13115822 | 2 |
| #13114768 | 2 |
| #13113404 | 2 |
| #13112683 | 2 |
| C13×#3187 | 2 |
| #9954 | 13 |