Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
602 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 602 conjugacy classes of subgroups — too many to draw. Only its 155 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. #13125416 | C2 | semidirect |
| 2. #13117086 | C2 | semidirect |
| 3. #13117061 | C2 | semidirect |
| 4. #13116923 | C2 | semidirect |
| 5. #13116682 | C2 | semidirect |
| 6. C4×C16×D13 | C2 | semidirect |
| 7. C13×#2252 | C2 | semidirect |
| 76. C13×C16 | #41 | semidirect |
| 79. #2252 | D13 | semidirect |
| 104. C4×D13 | D16 | semidirect |
| 197. C16 | #6131 | semidirect |
| 198. C13 | #33733 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125416 | 2 |
| #13117086 | 2 |
| #13117061 | 2 |
| #13116923 | 2 |
| #13116682 | 2 |
| C4×C16×D13 | 2 |
| C13×#2252 | 2 |
| #33733 | 13 |