Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
354 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 354 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 |
|---|---|---|
| 13. #11718251 | C4 | semidirect |
| 14. C8×#1057 | C4 | semidirect |
| 15. C82×C13 | C4 | semidirect |
| 16. #11718046 | C4 | semidirect |
| 17. C8×#1055 | C4 | semidirect |
| 29. C8×#261 | C8 | semidirect |
| 93. C82 | #261 | semidirect |
| 146. C13 | #8137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130492 | 2 |
| #13130040 | 2 |
| #13129661 | 2 |
| #13129659 | 2 |
| #13113118 | 2 |
| #8137 | 13 |