Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
478 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 3. C2×#11718241 | C2 | semidirect |
| 4. #13130114 | C2 | semidirect |
| 5. #13129719 | C2 | semidirect |
| 6. #13129673 | C2 | semidirect |
| 20. C13×#480 | C4 | semidirect |
| 21. #11718701 | C4 | semidirect |
| 22. #11718632 | C4 | semidirect |
| 27. #11718400 | C4 | semidirect |
| 207. #480 | #261 | semidirect |
| 377. C13 | #9263 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131709 | 2 |
| #13130221 | 2 |
| C2×#11718241 | 2 |
| #13130114 | 2 |
| #13129719 | 2 |
| #13129673 | 2 |
| #13125616 | 2 |
| #9263 | 13 |