Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
182 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 74 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 |
|---|---|---|
| 7. C2×#88036 | C4 | semidirect |
| 12. C2×C13×C32 | C4 | semidirect |
| 13. C2×#88034 | C4 | semidirect |
| 79. C2×C32 | #261 | semidirect |
| 132. C13 | #7466 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718214 | 2 |
| C2×#11718216 | 2 |
| C2×#11718039 | 2 |
| #7466 | 13 |