Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
330 conjugacy classes of subgroups; only the 120 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 120 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 |
|---|---|---|
| 15. #11718219 | C4 | direct (N × H) |
| 16. C4×C13×C16 | C4 | semidirect |
| 17. #11718094 | C4 | semidirect |
| 18. #11718094 | C4 | semidirect |
| 19. C4×#6090 | C4 | semidirect |
| 66. C13×C16 | C42 | semidirect |
| 68. #6090 | C42 | semidirect |
| 105. C4×C16 | #261 | semidirect |
| 114. C4×C13 | #365 | semidirect |
| 171. C16 | C4×#261 | semidirect |
| 172. C13 | C4×#365 | semidirect |
| 202. C4 | #11718219 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718219 | 2 |
| C4×#88103 | 2 |
| C4×#88101 | 2 |
| #13129901 | 2 |
| C4×#88038 | 2 |
| C4×#365 | 13 |