Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
906 conjugacy classes of subgroups; only the 211 normal subgroups are shown.
This group has 906 conjugacy classes of subgroups — too many to draw. Only its 211 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. #13125411 | C2 | semidirect |
| 2. #13125264 | C2 | semidirect |
| 3. #13114508 | C2 | semidirect |
| 4. #13114505 | C2 | semidirect |
| 5. #13114503 | C2 | semidirect |
| 6. #13114500 | C2 | semidirect |
| 7. C2×#11718047 | C2 | semidirect |
| 8. C13×#3147 | C2 | semidirect |
| 81. C2×C8×C13 | D8 | semidirect |
| 99. #3147 | D13 | semidirect |
| 224. C2×C8 | #6104 | semidirect |
| 234. C13 | #19616 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125411 | 2 |
| #13125264 | 2 |
| #13114508 | 2 |
| #13114505 | 2 |
| #13114503 | 2 |
| #13114500 | 2 |
| C2×#11718047 | 2 |
| C13×#3147 | 2 |
| #19616 | 13 |