Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1174 conjugacy classes of subgroups; only the 280 normal subgroups are shown.
This group has 1174 conjugacy classes of subgroups — too many to draw. Only its 280 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. C22×D13⋊C16 | C2 | semidirect |
| 2. C22×#88104 | C2 | semidirect |
| 3. C2×#11718281 | C2 | direct (N × H) |
| 17. C2×#88104 | C22 | semidirect |
| 19. C2×D13⋊C16 | C22 | semidirect |
| 20. #11718281 | C22 | direct (N × H) |
| 52. #88104 | C23 | semidirect |
| 54. D13⋊C16 | C23 | semidirect |
| 146. C22×C13 | #359 | semidirect |
| 193. C2×C13 | C2×#359 | semidirect |
| 239. C13 | C22×#359 | semidirect |
| 275. C22 | #11718281 | direct (N × H) |
| 285. C2 | C2×#11718281 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D13⋊C16 | 2 |
| C22×#88104 | 2 |
| C2×#11718281 | 2 |
| C22×#88173 | 2 |
| C22×#359 | 13 |