Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
398 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 95 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. #13117086 | C2 | semidirect |
| 2. #13117085 | C2 | semidirect |
| 3. #13114450 | C2 | semidirect |
| 4. C16×#1055 | C2 | semidirect |
| 5. C13×#2246 | C2 | semidirect |
| 43. C13×C16 | D8 | semidirect |
| 44. #6090 | D8 | semidirect |
| 47. #2246 | D13 | semidirect |
| 62. #1055 | D16 | semidirect |
| 112. C16 | #6104 | semidirect |
| 113. C13 | #12515 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117086 | 2 |
| #13117085 | 2 |
| #13114450 | 2 |
| C16×#1055 | 2 |
| C13×#2246 | 2 |
| #12515 | 13 |