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×#11718828 | C2 | semidirect |
| 2. C2×#11718360 | C2 | semidirect |
| 3. C2×#11718753 | C2 | semidirect |
| 5. #13123232 | C2 | semidirect |
| 7. C4×#88055 | C2 | semidirect |
| 64. #88055 | D4 | semidirect |
| 169. C4×C13 | #497 | semidirect |
| 253. C13 | #33305 | semidirect |
| 292. C4 | #11718828 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718828 | 2 |
| C2×#11718360 | 2 |
| C2×#11718753 | 2 |
| C2×#11718737 | 2 |
| #13123232 | 2 |
| #13123192 | 2 |
| C4×#88055 | 2 |
| C2×C13×#492 | 2 |
| #33305 | 13 |