Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
306 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 19. C13×#367 | C4 | semidirect |
| 20. #11718097 | C4 | semidirect |
| 21. #11718082 | C4 | semidirect |
| 22. #11718082 | C4 | semidirect |
| 138. #367 | #261 | semidirect |
| 230. C13 | #13110 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130940 | 2 |
| #107×#261 | 2 |
| #13129894 | 2 |
| #13129893 | 2 |
| (C2×#261)⋊C16 | 2 |
| D13×#367 | 2 |
| #13110 | 13 |