Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
338 conjugacy classes of subgroups; only the 54 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 54 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 |
|---|---|---|
| 8. C2×#88112 | C4 | semidirect |
| 9. C2×#88110 | C4 | semidirect |
| 14. #11718285 | C4 | semidirect |
| 238. C13 | #7322 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130960 | 2 |
| #13130092 | 2 |
| #13114822 | 2 |
| #7322 | 13 |