Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
510 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 132 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×#498 | C4 | semidirect |
| 13. #11718740 | C4 | semidirect |
| 17. #11718341 | C4 | semidirect |
| 102. C8×C13 | #103 | semidirect |
| 103. #1055 | #103 | semidirect |
| 108. #498 | #261 | semidirect |
| 191. C13 | #9841 | semidirect |
| 214. C8 | #88117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131017 | 2 |
| #13130963 | 2 |
| #13130772 | 2 |
| #13130030 | 2 |
| D13×#498 | 2 |
| #9841 | 13 |