Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
420 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 118 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 |
|---|---|---|
| 2. C2×#11718218 | C2 | semidirect |
| 4. #13129876 | C2 | semidirect |
| 9. C22×#6092 | C4 | semidirect |
| 12. C2×#88098 | C4 | semidirect |
| 18. C13×C22⋊C16 | C4 | semidirect |
| 19. C22⋊#6090 | C4 | semidirect |
| 20. #11718099 | C4 | semidirect |
| 79. #6092 | C22⋊C4 | semidirect |
| 127. C22⋊C16 | #261 | semidirect |
| 132. C22×C13 | #347 | semidirect |
| 213. C13 | #12616 | semidirect |
| 251. C22 | #11718218 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88098 | 2 |
| C2×#11718218 | 2 |
| #13130572 | 2 |
| #13129876 | 2 |
| #13116445 | 2 |
| #12616 | 13 |