Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
294 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 61 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×D13×Q32 | C2 | semidirect |
| 2. C2×#11718041 | C2 | semidirect |
| 3. C2×#11718113 | C2 | semidirect |
| 5. #13113016 | C2 | semidirect |
| 6. #13112973 | C2 | semidirect |
| 7. C13×#1416 | C2 | semidirect |
| 33. C13×Q32 | D4 | semidirect |
| 40. Dic104 | D4 | semidirect |
| 78. #1416 | D13 | semidirect |
| 122. C2×D13 | SD64 | semidirect |
| 142. Q32 | D52 | semidirect |
| 183. C13 | #13662 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D13×Q32 | 2 |
| C2×#11718041 | 2 |
| C2×#11718113 | 2 |
| #13116923 | 2 |
| #13113016 | 2 |
| #13112973 | 2 |
| C13×#1416 | 2 |
| #13662 | 13 |