Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1372 conjugacy classes of subgroups; only the 203 normal subgroups are shown.
This group has 1372 conjugacy classes of subgroups — too many to draw. Only its 203 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×#11719205 | C2 | semidirect |
| 3. #13113775 | C2 | direct (N × H) |
| 4. C2×#11718044 | C2 | semidirect |
| 5. C2×#11718120 | C2 | semidirect |
| 17. #11719205 | C22 | semidirect |
| 27. #11718120 | C22 | semidirect |
| 28. #11718044 | C22 | semidirect |
| 106. C22×C4×C13 | SD16 | semidirect |
| 188. C2×C4×C13 | C2×SD16 | semidirect |
| 301. C2×C13 | #1599 | semidirect |
| 340. C22×C4 | #6105 | semidirect |
| 365. C13 | C2×#1599 | semidirect |
| 416. C2×C4 | C2×#6105 | semidirect |
| 453. C2 | #13113775 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719205 | 2 |
| C2×#11718879 | 2 |
| #13113775 | 2 |
| C2×#11718044 | 2 |
| C2×#11718120 | 2 |
| C2×C13×#394 | 2 |
| C2×#1599 | 13 |