Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
234 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 19. #11718053 | C4 | semidirect |
| 20. C4×#6090 | C4 | semidirect |
| 178. C13 | #12893 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116433 | 2 |
| #13114960 | 2 |
| #13112939 | 2 |
| #13112937 | 2 |
| #13112933 | 2 |
| #13112931 | 2 |
| C13×#1833 | 2 |
| #12893 | 13 |