Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
326 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 100 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 |
|---|---|---|
| 15. C13×#366 | C4 | semidirect |
| 16. #11718096 | C4 | semidirect |
| 17. #11718081 | C4 | semidirect |
| 63. C13×C16 | C4⋊C4 | semidirect |
| 64. #6090 | C4⋊C4 | semidirect |
| 104. #366 | #261 | semidirect |
| 175. C16 | C4⋊#261 | semidirect |
| 176. C13 | #13165 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718221 | 2 |
| C2×C16×#261 | 2 |
| #13130940 | 2 |
| #13129893 | 2 |
| D13×#366 | 2 |
| #13165 | 13 |