Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
930 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 930 conjugacy classes of subgroups — too many to draw. Only its 101 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. #13125589 | C2 | semidirect |
| 3. #13115672 | C2 | semidirect |
| 4. #13114767 | C2 | semidirect |
| 5. #13113408 | C2 | semidirect |
| 6. #13112684 | C2 | semidirect |
| 7. C13×#2435 | C2 | semidirect |
| 150. #2435 | D13 | semidirect |
| 399. C13 | #9947 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125589 | 2 |
| C2×#11718878 | 2 |
| #13115672 | 2 |
| #13114767 | 2 |
| #13113408 | 2 |
| #13112684 | 2 |
| C13×#2435 | 2 |
| #9947 | 13 |