Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
4830 conjugacy classes of subgroups; only the 744 normal subgroups are shown.
This group has 4830 conjugacy classes of subgroups — too many to draw. Only its 744 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. #13130026 | C2 | direct (N × H) |
| 5. C23×Q8×C13 | C4 | semidirect |
| 7. C22×Q8×D13 | C4 | semidirect |
| 10. C23×Dic26 | C4 | semidirect |
| 16. C23×#261 | Q8 | semidirect |
| 19. C22×Q8×C13 | C2×C4 | semidirect |
| 31. C22×Dic26 | C2×C4 | semidirect |
| 45. C22×#261 | C2×Q8 | semidirect |
| 97. C23×Q8 | #261 | semidirect |
| 125. C22×Q8 | C2×#261 | semidirect |
| 137. C2×C13 | #1446 | semidirect |
| 140. D13 | #1446 | semidirect |
| 173. C13 | C2×#1446 | semidirect |
| 218. C2 | #13130026 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×(C2×#261)⋊C4 | 2 |
| #13130026 | 2 |
| C23×Q8×D13 | 2 |
| C2×#1446 | 13 |