Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
510 conjugacy classes of subgroups; only the 312 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 312 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. #11718231 | C4 | direct (N × H) |
| 11. C4×#6092 | C4 | semidirect |
| 40. #6092 | C42 | semidirect |
| 68. C4×C13 | #346 | semidirect |
| 103. C13 | C4×#346 | semidirect |
| 120. C4 | #11718231 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718231 | 2 |
| C2×C4×#6092 | 2 |
| C42×#1055 | 2 |
| C4×#346 | 13 |