Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1450 conjugacy classes of subgroups; only the 299 normal subgroups are shown.
This group has 1450 conjugacy classes of subgroups — too many to draw. Only its 299 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×#11718721 | C2 | semidirect |
| 2. C2×#11718753 | C2 | semidirect |
| 4. #13123234 | C2 | semidirect |
| 5. C4×#88043 | C2 | semidirect |
| 44. #88043 | D4 | semidirect |
| 122. C4×C13 | #497 | semidirect |
| 179. C13 | #33305 | semidirect |
| 209. C4 | #11718721 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718721 | 2 |
| C2×#11718753 | 2 |
| C2×#11718737 | 2 |
| #13123234 | 2 |
| C4×#88043 | 2 |
| C13×#2858 | 2 |
| #33305 | 13 |