Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
494 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 108 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 |
|---|---|---|
| 1. D13⋊(C4⋊C16) | C2 | semidirect |
| 3. #13130773 | C2 | semidirect |
| 4. #13129893 | C2 | semidirect |
| 12. C4×C13×D8 | C4 | semidirect |
| 13. D8×Dic13 | C4 | semidirect |
| 16. #11718533 | C4 | semidirect |
| 19. C4×D104 | C4 | semidirect |
| 167. C4×D8 | #261 | semidirect |
| 296. C13 | #12813 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊(C4⋊C16) | 2 |
| C2×#11718276 | 2 |
| #13130773 | 2 |
| #13129893 | 2 |
| C4×D8×D13 | 2 |
| #12813 | 13 |