Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
462 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 92 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 |
|---|---|---|
| 20. C13×#462 | C4 | semidirect |
| 23. #11718751 | C4 | semidirect |
| 24. #11718682 | C4 | semidirect |
| 25. #11718511 | C4 | semidirect |
| 109. #6118 | Q16 | semidirect |
| 191. #462 | #261 | semidirect |
| 341. C13 | #8990 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131638 | 2 |
| #13131012 | 2 |
| C4×#88117 | 2 |
| #13130186 | 2 |
| #13129733 | 2 |
| #13129667 | 2 |
| #13124874 | 2 |
| #8990 | 13 |