Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
294 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 71 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×#11718113 | C2 | semidirect |
| 3. #13113017 | C2 | semidirect |
| 4. C22⋊#88034 | C2 | semidirect |
| 5. C22×C13×Q32 | C2 | semidirect |
| 27. C13×Q32 | D4 | semidirect |
| 57. C22×Q32 | D13 | semidirect |
| 93. C22×C13 | SD64 | semidirect |
| 113. Q32 | C22⋊D13 | semidirect |
| 147. C13 | #13662 | semidirect |
| 171. C22 | #11718113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718113 | 2 |
| #13116922 | 2 |
| #13113017 | 2 |
| C22⋊#88034 | 2 |
| C22×C13×Q32 | 2 |
| #13662 | 13 |