Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
510 conjugacy classes of subgroups; only the 124 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 124 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 |
|---|---|---|
| 3. C2×#11718218 | C2 | semidirect |
| 4. #13129876 | C2 | semidirect |
| 16. C22⋊#6092 | C4 | semidirect |
| 17. #11718259 | C4 | semidirect |
| 19. C13×C22⋊C16 | C4 | semidirect |
| 20. C22⋊#6090 | C4 | semidirect |
| 21. #11718099 | C4 | semidirect |
| 43. C2×#6092 | C2×C4 | semidirect |
| 50. C2×C13×C16 | C2×C4 | semidirect |
| 51. C2×#6090 | C2×C4 | semidirect |
| 156. C22⋊C16 | #261 | semidirect |
| 160. C22×C13 | #347 | semidirect |
| 168. C2×D13 | #347 | semidirect |
| 206. C2×C16 | C2×#261 | semidirect |
| 262. C13 | #12605 | semidirect |
| 312. C22 | #11718218 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88100 | 2 |
| #13131064 | 2 |
| C2×#11718218 | 2 |
| #13129876 | 2 |
| #13116445 | 2 |
| #12605 | 13 |