Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
532 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 139 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 |
|---|---|---|
| 2. C4×#88076 | C2 | semidirect |
| 3. #13112963 | C2 | semidirect |
| 16. #11718134 | C4 | direct (N × H) |
| 43. #88076 | C2×C4 | semidirect |
| 156. C4×C13 | #355 | semidirect |
| 229. C13 | C4×#355 | semidirect |
| 284. C4 | #11718134 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718134 | 2 |
| C4×#88076 | 2 |
| #13112963 | 2 |
| C4×C13×#124 | 2 |
| C4×#355 | 13 |