Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
644 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 644 conjugacy classes of subgroups — too many to draw. Only its 93 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. #13114771 | C2 | semidirect |
| 5. #13112741 | C2 | semidirect |
| 6. #13112712 | C2 | semidirect |
| 7. C13×#1784 | C2 | semidirect |
| 16. #11718889 | C4 | semidirect |
| 18. #11718888 | C4 | semidirect |
| 164. #1784 | D13 | semidirect |
| 410. C13 | #9519 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124070 | 2 |
| #13123886 | 2 |
| #13114771 | 2 |
| #13113380 | 2 |
| #13112741 | 2 |
| #13112712 | 2 |
| C13×#1784 | 2 |
| #9519 | 13 |