Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
318 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 318 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 |
|---|---|---|
| 14. #11718258 | C4 | semidirect |
| 15. C4×#6092 | C4 | semidirect |
| 17. C13×C4⋊C16 | C4 | semidirect |
| 18. #11718093 | C4 | semidirect |
| 19. C4⋊#6090 | C4 | semidirect |
| 71. #6092 | C4⋊C4 | semidirect |
| 111. C4⋊C16 | #261 | semidirect |
| 123. C4×C13 | #347 | semidirect |
| 188. C13 | #12666 | semidirect |
| 223. C4 | #11718218 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718218 | 2 |
| C4×#88098 | 2 |
| #13130630 | 2 |
| #13129876 | 2 |
| #13116590 | 2 |
| #12666 | 13 |