Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
904 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 904 conjugacy classes of subgroups — too many to draw. Only its 179 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 |
|---|---|---|
| 3. #13113810 | C2 | semidirect |
| 5. #13113387 | C2 | semidirect |
| 6. #13113180 | C2 | semidirect |
| 7. C13×#3502 | C2 | semidirect |
| 126. #3502 | D13 | semidirect |
| 304. C13 | #18369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125835 | 2 |
| #13120696 | 2 |
| #13113810 | 2 |
| #13113776 | 2 |
| #13113387 | 2 |
| #13113180 | 2 |
| C13×#3502 | 2 |
| #18369 | 13 |