Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
390 conjugacy classes of subgroups; only the 148 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 148 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 |
|---|---|---|
| 12. #11718258 | C4 | semidirect |
| 13. #11718231 | C4 | semidirect |
| 14. C13×#346 | C4 | semidirect |
| 15. #11718094 | C4 | semidirect |
| 16. #11718053 | C4 | semidirect |
| 88. #346 | #261 | semidirect |
| 140. C13 | #12591 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131037 | 2 |
| C4×C8×#261 | 2 |
| (C2×#261)⋊C16 | 2 |
| D13×#346 | 2 |
| #12591 | 13 |