Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
420 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 92 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. #13129907 | C2 | semidirect |
| 4. #13129907 | C2 | semidirect |
| 11. C13×#427 | C4 | semidirect |
| 12. #11718767 | C4 | semidirect |
| 16. D13×#107 | C4 | semidirect |
| 17. D13×#107 | C4 | semidirect |
| 143. #427 | #261 | semidirect |
| 253. C13 | #12870 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131064 | 2 |
| #13130712 | 2 |
| #13129907 | 2 |
| D13×#427 | 2 |
| #12870 | 13 |