Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
216 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 59 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. #13117148 | C2 | semidirect |
| 2. #13117086 | C2 | semidirect |
| 3. #13113034 | C2 | semidirect |
| 4. #13113025 | C2 | semidirect |
| 5. C13×#2178 | C2 | semidirect |
| 22. C13×Q32 | D4 | semidirect |
| 24. C13×D16 | D4 | semidirect |
| 56. #2178 | D13 | semidirect |
| 98. Q32 | D52 | semidirect |
| 103. D16 | D52 | semidirect |
| 133. C13 | #13692 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117148 | 2 |
| #13117086 | 2 |
| #13113034 | 2 |
| #13113025 | 2 |
| C13×#2178 | 2 |
| #13692 | 13 |