Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
934 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 934 conjugacy classes of subgroups — too many to draw. Only its 131 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. #13123860 | C2 | semidirect |
| 3. #13114766 | C2 | semidirect |
| 4. #13112703 | C2 | semidirect |
| 5. C13×#1799 | C2 | semidirect |
| 16. #11718652 | C4 | semidirect |
| 18. #11718621 | C4 | semidirect |
| 50. C22×#1055 | D4 | semidirect |
| 118. #1799 | D13 | semidirect |
| 127. C23×C13 | #102 | semidirect |
| 164. C2×C4×C13 | #102 | semidirect |
| 329. C13 | #9468 | semidirect |
| 350. C23 | #88049 | semidirect |
| 381. C2×C4 | #88049 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123860 | 2 |
| #13118192 | 2 |
| #13114766 | 2 |
| #13112703 | 2 |
| C13×#1799 | 2 |
| #9468 | 13 |