Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1058 conjugacy classes of subgroups; only the 188 normal subgroups are shown.
This group has 1058 conjugacy classes of subgroups — too many to draw. Only its 188 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 |
|---|---|---|
| 2. #13129674 | C2 | semidirect |
| 10. #11719169 | C4 | semidirect |
| 54. C22×C4×C13 | M16 | semidirect |
| 74. C22×Dic13 | M16 | semidirect |
| 247. C22×C4 | #6122 | semidirect |
| 255. C13 | #7911 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719169 | 2 |
| #13129674 | 2 |
| C2×C22⋊C4×Dic13 | 2 |
| #7911 | 13 |