Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
190 conjugacy classes of subgroups; only the 56 normal subgroups are shown.
This group has 190 conjugacy classes of subgroups — too many to draw. Only its 56 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. C13×Q64 | C4 | semidirect |
| 13. #11718114 | C4 | semidirect |
| 14. Dic208 | C4 | semidirect |
| 63. Q64 | #261 | direct (N × H) |
| 72. #261 | Q64 | direct (N × H) |
| 106. C13 | C4×Q64 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q32×#261 | 2 |
| #13129997 | 2 |
| #13129986 | 2 |
| C32×#261 | 2 |
| D13×Q64 | 2 |
| C4×Q64 | 13 |