Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
582 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 582 conjugacy classes of subgroups — too many to draw. Only its 132 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. #13130573 | C2 | semidirect |
| 4. #13129679 | C2 | semidirect |
| 6. C23×#1057 | C4 | semidirect |
| 9. C2×C22⋊#1057 | C4 | semidirect |
| 15. C2×C4⋊#1057 | C4 | semidirect |
| 16. C2×C4×#1057 | C4 | semidirect |
| 20. #11718305 | C4 | semidirect |
| 22. #11718285 | C4 | semidirect |
| 118. C23×C13 | #97 | semidirect |
| 131. C2×C4×C13 | #97 | semidirect |
| 156. #1057 | #99 | semidirect |
| 291. C13 | #8160 | semidirect |
| 298. C23 | #88110 | semidirect |
| 330. C2×C4 | #88110 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D4×#1057 | 2 |
| #13130573 | 2 |
| #13130072 | 2 |
| #13129679 | 2 |
| #99×Dic13 | 2 |
| #8160 | 13 |