Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
294 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 88 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 |
|---|---|---|
| 23. C13×#334 | C4 | semidirect |
| 24. #11718071 | C4 | semidirect |
| 25. #11718071 | C4 | semidirect |
| 26. #11718049 | C4 | semidirect |
| 145. #334 | #261 | semidirect |
| 229. C13 | #9632 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130760 | 2 |
| #13130630 | 2 |
| #13130406 | 2 |
| #13130404 | 2 |
| #13129733 | 2 |
| #13113581 | 2 |
| #9632 | 13 |