Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
418 conjugacy classes of subgroups; only the 192 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 192 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 |
|---|---|---|
| 12. #11718258 | C4 | semidirect |
| 13. C4×#6092 | C4 | semidirect |
| 14. #11718217 | C4 | direct (N × H) |
| 15. C4×C13×C16 | C4 | semidirect |
| 16. #11718094 | C4 | semidirect |
| 17. C4×#6090 | C4 | semidirect |
| 55. #6092 | C42 | semidirect |
| 56. C13×C16 | C42 | semidirect |
| 57. #6090 | C42 | semidirect |
| 89. C4×C16 | #261 | semidirect |
| 94. C4×C13 | #347 | semidirect |
| 140. C16 | C4×#261 | semidirect |
| 141. C13 | C4×#347 | semidirect |
| 163. C4 | #11718217 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718217 | 2 |
| C4×#88098 | 2 |
| C4×#88100 | 2 |
| C4×#88038 | 2 |
| C4×#347 | 13 |