Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
396 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 102 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. C2×#11718220 | C2 | semidirect |
| 2. C2×#11718219 | C2 | semidirect |
| 5. #13129901 | C2 | semidirect |
| 6. #13129901 | C2 | semidirect |
| 15. C2×C13×M32 | C4 | semidirect |
| 16. C2×#88052 | C4 | semidirect |
| 21. C2×C16×D13 | C4 | semidirect |
| 22. C2×C16×D13 | C4 | semidirect |
| 110. C13×C16 | C22⋊C4 | semidirect |
| 112. #6090 | C22⋊C4 | semidirect |
| 165. C2×M32 | #261 | semidirect |
| 188. C2×D13 | #365 | semidirect |
| 290. C16 | C22⋊#261 | semidirect |
| 291. C13 | #12831 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718220 | 2 |
| C2×#11718219 | 2 |
| #13130715 | 2 |
| #13130712 | 2 |
| #13129901 | 2 |
| C2×D13×M32 | 2 |
| #12831 | 13 |