Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
464 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 464 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 |
|---|---|---|
| 1. #13131065 | C2 | semidirect |
| 2. #13130712 | C2 | semidirect |
| 3. #13129823 | C2 | semidirect |
| 4. #13129822 | C2 | semidirect |
| 6. C2×D8×D13 | C4 | semidirect |
| 12. C13×#466 | C4 | semidirect |
| 14. #11718776 | C4 | semidirect |
| 17. D13×#107 | C4 | semidirect |
| 20. #11718265 | C22 | semidirect |
| 22. #11718259 | C22 | semidirect |
| 162. #466 | #261 | semidirect |
| 285. C13 | #11888 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131065 | 2 |
| #13130712 | 2 |
| #13129823 | 2 |
| #13129822 | 2 |
| D13×#466 | 2 |
| #11888 | 13 |