Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
540 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 111 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. C2×#11718134 | C2 | semidirect |
| 2. #13114832 | C2 | semidirect |
| 3. C4×#88076 | C2 | semidirect |
| 48. #88076 | D4 | semidirect |
| 177. C4×C13 | #355 | semidirect |
| 260. C13 | #13226 | semidirect |
| 320. C4 | #11718134 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718134 | 2 |
| #13114832 | 2 |
| C4×#88076 | 2 |
| C13×#2548 | 2 |
| #13226 | 13 |