Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
302 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 160 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 |
|---|---|---|
| 3. #13129754 | C2 | direct (N × H) |
| 22. C2×#6092 | C8 | semidirect |
| 52. #6092 | C2×C8 | semidirect |
| 113. C2×C13 | #1313 | semidirect |
| 136. C13 | C2×#1313 | semidirect |
| 165. C2 | #13129754 | 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 |
| #13129754 | 2 |
| C2×#11718046 | 2 |
| C2×#1313 | 13 |