Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
414 conjugacy classes of subgroups; only the 232 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 232 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. C4×#6092 | C4 | semidirect |
| 32. C42×C13 | C16 | semidirect |
| 109. C42 | #6092 | semidirect |
| 113. C13 | #12590 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×#6092 | 2 |
| #13129874 | 2 |
| C42×#1055 | 2 |
| #12590 | 13 |