Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
558 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 558 conjugacy classes of subgroups — too many to draw. Only its 151 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. #13125420 | C2 | semidirect |
| 3. #13117116 | C2 | semidirect |
| 4. #13117093 | C2 | semidirect |
| 5. #13117060 | C2 | semidirect |
| 6. #13116935 | C2 | semidirect |
| 7. #13116685 | C2 | semidirect |
| 8. C4×C16×D13 | C2 | semidirect |
| 9. C13×#2241 | C2 | semidirect |
| 114. #6090 | #41 | semidirect |
| 119. #2241 | D13 | semidirect |
| 147. C4×D13 | SD32 | semidirect |
| 279. C13 | #33736 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125420 | 2 |
| #13125416 | 2 |
| #13117116 | 2 |
| #13117093 | 2 |
| #13117060 | 2 |
| #13116935 | 2 |
| #13116685 | 2 |
| C4×C16×D13 | 2 |
| C13×#2241 | 2 |
| #33736 | 13 |