Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
612 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 83 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. #13122782 | C2 | semidirect |
| 2. #13115924 | C2 | semidirect |
| 3. #13112661 | C2 | semidirect |
| 4. #13112657 | C2 | semidirect |
| 64. C2×D4×C13 | SD16 | semidirect |
| 229. C2×D4 | #6105 | semidirect |
| 253. C13 | #7745 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13122782 | 2 |
| #13115924 | 2 |
| #13112661 | 2 |
| #13112657 | 2 |
| C13×#2011 | 2 |
| #7745 | 13 |