Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
500 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 107 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. #13114832 | C2 | semidirect |
| 4. #13112962 | C2 | semidirect |
| 5. C13×#1801 | C2 | semidirect |
| 122. #1801 | D13 | semidirect |
| 212. C4×C13 | #355 | semidirect |
| 316. C13 | #12801 | semidirect |
| 390. C4 | #11718069 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88201 | 2 |
| C2×#11718069 | 2 |
| #13114832 | 2 |
| #13112962 | 2 |
| C13×#1801 | 2 |
| #12801 | 13 |