Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1502 conjugacy classes of subgroups; only the 331 normal subgroups are shown.
This group has 1502 conjugacy classes of subgroups — too many to draw. Only its 331 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×#11718133 | C2 | direct (N × H) |
| 4. C23×Q8×C13 | C4 | semidirect |
| 7. C2×C13×#124 | C4 | semidirect |
| 10. C22×C42×C13 | C4 | semidirect |
| 14. #11718133 | C22 | direct (N × H) |
| 19. C22×Q8×C13 | C2×C4 | semidirect |
| 31. C13×#124 | C2×C4 | semidirect |
| 36. C2×C42×C13 | C2×C4 | semidirect |
| 53. C2×Q8×C13 | C22×C4 | semidirect |
| 78. C42×C13 | C22×C4 | semidirect |
| 117. C23×Q8 | Dic13 | semidirect |
| 120. C2×#124 | Dic13 | semidirect |
| 124. C22×C42 | Dic13 | semidirect |
| 138. C22×C13 | #354 | semidirect |
| 151. C22×Q8 | C2×Dic13 | semidirect |
| 163. #124 | C2×Dic13 | semidirect |
| 170. C2×C42 | C2×Dic13 | semidirect |
| 177. C2×C13 | C2×#354 | semidirect |
| 190. C2×Q8 | C22×Dic13 | semidirect |
| 217. C42 | C22×Dic13 | semidirect |
| 218. C13 | C22×#354 | semidirect |
| 262. C22 | #11718133 | direct (N × H) |
| 275. C2 | C2×#11718133 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88074 | 2 |
| C2×#11718133 | 2 |
| C22×C13×#124 | 2 |
| C22×#354 | 13 |