Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
768 conjugacy classes of subgroups; only the 148 normal subgroups are shown.
This group has 768 conjugacy classes of subgroups — too many to draw. Only its 148 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. #13129924 | C2 | semidirect |
| 6. C22×C13×M16 | C4 | semidirect |
| 7. C22×#6099 | C4 | semidirect |
| 8. C2×#88119 | C4 | semidirect |
| 11. #11719116 | C4 | semidirect |
| 16. #11718771 | C4 | semidirect |
| 41. C22×C8×C13 | C2×C4 | semidirect |
| 44. C2×#6099 | C2×C4 | semidirect |
| 47. #88119 | C2×C4 | semidirect |
| 165. C22×M16 | #261 | semidirect |
| 219. C22×C8 | C2×#261 | semidirect |
| 298. C13 | #12577 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719116 | 2 |
| #13129924 | 2 |
| #13123280 | 2 |
| #12577 | 13 |