Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
340 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 75 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. #13113010 | C2 | direct (N × H) |
| 6. C2×#88124 | C4 | semidirect |
| 13. #11718717 | C4 | semidirect |
| 15. C2×C4×#1055 | C4 | semidirect |
| 36. #88124 | C2×C4 | semidirect |
| 46. C4×#1055 | C2×C4 | semidirect |
| 180. C2×C13 | #1414 | semidirect |
| 217. C13 | C2×#1414 | semidirect |
| 269. C2 | #13113010 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718717 | 2 |
| C2×#11718134 | 2 |
| #13113010 | 2 |
| C2×C13×#354 | 2 |
| C2×#1414 | 13 |