Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
324 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 324 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 |
|---|---|---|
| 2. C2×#11718113 | C2 | semidirect |
| 3. #13116924 | C2 | semidirect |
| 4. #13113015 | C2 | semidirect |
| 5. #13113014 | C2 | semidirect |
| 6. #13112973 | C2 | semidirect |
| 7. C2×C13×SD64 | C2 | semidirect |
| 9. C2×C13×Q32 | C22 | semidirect |
| 18. C2×C13×C32 | C22 | semidirect |
| 21. #11718096 | C22 | semidirect |
| 22. C2×#88034 | C22 | semidirect |
| 75. C2×SD64 | D13 | semidirect |
| 103. C2×Q32 | C2×D13 | semidirect |
| 114. C2×C32 | C2×D13 | semidirect |
| 127. C2×D13 | SD64 | semidirect |
| 188. C13 | #13664 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D13×D16 | 2 |
| C2×#11718113 | 2 |
| #13116924 | 2 |
| #13113015 | 2 |
| #13113014 | 2 |
| #13112973 | 2 |
| C2×C13×SD64 | 2 |
| #13664 | 13 |