Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
536 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 536 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 |
| 2. #13115972 | C2 | semidirect |
| 3. #13115918 | C2 | semidirect |
| 4. #13112662 | C2 | semidirect |
| 5. #13112657 | C2 | semidirect |
| 6. #13112657 | C2 | semidirect |
| 69. C2×Q8×C13 | SD16 | semidirect |
| 300. C2×Q8 | #6105 | semidirect |
| 354. C13 | #7781 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115977 | 2 |
| #13115972 | 2 |
| #13115918 | 2 |
| #13112662 | 2 |
| #13112657 | 2 |
| C13×#2733 | 2 |
| #7781 | 13 |