Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
220 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 67 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. C4⋊#88034 | C2 | semidirect |
| 4. #13113013 | C2 | semidirect |
| 5. C4×C13×Q32 | C2 | semidirect |
| 22. C13×Q32 | D4 | semidirect |
| 53. C4×Q32 | D13 | semidirect |
| 88. C4×C13 | SD64 | semidirect |
| 97. Q32 | D52 | semidirect |
| 129. C13 | #13686 | semidirect |
| 152. C4 | #11718113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718113 | 2 |
| #13117086 | 2 |
| C4⋊#88034 | 2 |
| #13113013 | 2 |
| C4×C13×Q32 | 2 |
| #13686 | 13 |