Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
478 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13123494 | C2 | semidirect |
| 5. #13112712 | C2 | semidirect |
| 6. #13112684 | C2 | semidirect |
| 7. C13×#1826 | C2 | semidirect |
| 22. C2×#88049 | C4 | semidirect |
| 23. C2×#88049 | C4 | semidirect |
| 24. C2×#88048 | C4 | semidirect |
| 25. C2×#88047 | C4 | semidirect |
| 141. #1826 | D13 | semidirect |
| 361. C13 | #9242 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718664 | 2 |
| #13123494 | 2 |
| #13113351 | 2 |
| #13113197 | 2 |
| #13112712 | 2 |
| #13112684 | 2 |
| C13×#1826 | 2 |
| #9242 | 13 |