Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
436 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 18. #11718512 | C4 | semidirect |
| 19. #11718511 | C4 | semidirect |
| 272. C13 | #9304 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124643 | 2 |
| #13123916 | 2 |
| #13114852 | 2 |
| #13113401 | 2 |
| #13113238 | 2 |
| #13112696 | 2 |
| C13×#1301 | 2 |
| #9304 | 13 |