Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
426 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 98 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. #13129893 | C2 | semidirect |
| 4. #13129893 | C2 | semidirect |
| 11. C13×#427 | C4 | semidirect |
| 12. #11718767 | C4 | semidirect |
| 14. #11718541 | C4 | semidirect |
| 15. #11718541 | C4 | semidirect |
| 145. #427 | #261 | semidirect |
| 258. C13 | #12868 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊(C22⋊C16) | 2 |
| #13130713 | 2 |
| #13129893 | 2 |
| D13×#427 | 2 |
| #12868 | 13 |