Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
212 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 91 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. #13116673 | C2 | semidirect |
| 2. #13112912 | C2 | semidirect |
| 3. #13112809 | C2 | semidirect |
| 4. #13112752 | C2 | semidirect |
| 18. C13×Q32 | C8 | semidirect |
| 19. C13×SD32 | C8 | semidirect |
| 20. C13×D16 | C8 | semidirect |
| 85. Q32 | #1055 | semidirect |
| 86. SD32 | #1055 | semidirect |
| 87. D16 | #1055 | semidirect |
| 119. C13 | #12047 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116673 | 2 |
| #13112912 | 2 |
| #13112809 | 2 |
| #13112752 | 2 |
| C13×#2178 | 2 |
| #12047 | 13 |