Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
446 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 160 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 |
|---|---|---|
| 15. #11718255 | C4 | semidirect |
| 16. #11718253 | C4 | semidirect |
| 17. C13×#335 | C4 | semidirect |
| 18. #11718071 | C4 | semidirect |
| 19. #11718050 | C4 | semidirect |
| 34. #88100 | C8 | semidirect |
| 97. C8×C13 | C4×C8 | semidirect |
| 100. #1055 | C4×C8 | semidirect |
| 112. #335 | #261 | semidirect |
| 184. C13 | #8275 | semidirect |
| 207. C8 | C8×#261 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4⋊C8×#261 | 2 |
| C4×#88100 | 2 |
| D13⋊#334 | 2 |
| #13129665 | 2 |
| D13×#335 | 2 |
| #8275 | 13 |