Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
480 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 1. #13115977 | C2 | semidirect |
| 3. #13115935 | C2 | semidirect |
| 4. #13112662 | C2 | semidirect |
| 5. #13112662 | C2 | semidirect |
| 74. C2×D4×C13 | Q16 | semidirect |
| 283. C2×D4 | #6107 | semidirect |
| 322. C13 | #7782 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115977 | 2 |
| #13115972 | 2 |
| #13115935 | 2 |
| #13112662 | 2 |
| #13112657 | 2 |
| C13×#2804 | 2 |
| #7782 | 13 |