Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
474 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 108 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. #13130629 | C2 | semidirect |
| 4. #13130052 | C2 | semidirect |
| 5. #13129733 | C2 | semidirect |
| 6. #13129728 | C2 | semidirect |
| 12. #11719145 | C4 | semidirect |
| 14. D4×#1057 | C4 | semidirect |
| 26. C13×#331 | C4 | semidirect |
| 27. #11718136 | C4 | semidirect |
| 28. #11718078 | C4 | semidirect |
| 29. #11718074 | C4 | semidirect |
| 181. #331 | #261 | semidirect |
| 295. C13 | #8257 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131558 | 2 |
| #13130629 | 2 |
| #13130216 | 2 |
| #13130052 | 2 |
| #13129733 | 2 |
| #13129728 | 2 |
| #13113482 | 2 |
| #8257 | 13 |