Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
904 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 904 conjugacy classes of subgroups — too many to draw. Only its 163 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 |
|---|---|---|
| 1. #13128646 | C2 | semidirect |
| 3. #13113809 | C2 | semidirect |
| 5. #13113386 | C2 | semidirect |
| 6. #13113180 | C2 | semidirect |
| 304. C13 | #18369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13128646 | 2 |
| #13125839 | 2 |
| #13113809 | 2 |
| #13113775 | 2 |
| #13113386 | 2 |
| #13113180 | 2 |
| C13×#2632 | 2 |
| #18369 | 13 |