Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
450 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 90 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. C2×#11718282 | C2 | semidirect |
| 3. #13131146 | C2 | semidirect |
| 5. #13129916 | C2 | semidirect |
| 6. #13129905 | C2 | semidirect |
| 21. C13×#473 | C4 | semidirect |
| 23. #11718853 | C4 | semidirect |
| 24. #11718804 | C4 | semidirect |
| 25. #11718557 | C4 | semidirect |
| 217. #473 | #261 | semidirect |
| 367. C13 | #13069 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131804 | 2 |
| C2×#11718282 | 2 |
| #13131146 | 2 |
| #13130722 | 2 |
| #13129916 | 2 |
| #13129905 | 2 |
| D13×#473 | 2 |
| #13069 | 13 |