Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
418 conjugacy classes of subgroups; only the 204 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 204 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 |
|---|---|---|
| 10. #11718232 | C4 | direct (N × H) |
| 11. #11718231 | C4 | semidirect |
| 12. C4×#6092 | C4 | semidirect |
| 43. #6092 | C42 | semidirect |
| 74. C4×C13 | #347 | semidirect |
| 111. C13 | C4×#347 | semidirect |
| 130. C4 | #11718232 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718232 | 2 |
| C4×#88106 | 2 |
| C4×#88043 | 2 |
| C4×#347 | 13 |