Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
194 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 194 conjugacy classes of subgroups — too many to draw. Only its 50 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. #13131239 | C2 | semidirect |
| 2. #13131234 | C2 | semidirect |
| 3. #13130002 | C2 | semidirect |
| 4. #13129991 | C2 | semidirect |
| 5. #13129990 | C2 | semidirect |
| 6. #13129945 | C2 | semidirect |
| 18. C13×SD64 | C4 | semidirect |
| 19. #11718113 | C4 | semidirect |
| 20. #11718111 | C4 | semidirect |
| 21. D416 | C4 | semidirect |
| 33. C13×Q32 | C2×C4 | semidirect |
| 38. D208 | C2×C4 | semidirect |
| 41. C13×C32 | C2×C4 | semidirect |
| 42. #88034 | C2×C4 | semidirect |
| 92. SD64 | #261 | semidirect |
| 117. Q32 | C2×#261 | semidirect |
| 132. C32 | C2×#261 | semidirect |
| 158. C13 | #13658 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131239 | 2 |
| #13131234 | 2 |
| #13130002 | 2 |
| #13129991 | 2 |
| #13129990 | 2 |
| #13129945 | 2 |
| #13117150 | 2 |
| #13658 | 13 |