Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
414 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13113439 | C2 | semidirect |
| 4. #13113191 | C2 | semidirect |
| 5. #13112746 | C2 | semidirect |
| 6. #13112727 | C2 | semidirect |
| 312. C13 | #9352 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124658 | 2 |
| #13123856 | 2 |
| #13113439 | 2 |
| #13113191 | 2 |
| #13112746 | 2 |
| #13112727 | 2 |
| C13×#1488 | 2 |
| #9352 | 13 |