Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
262 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 121 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. #13112910 | C2 | semidirect |
| 4. #13112909 | C2 | semidirect |
| 5. C13×#1372 | C2 | semidirect |
| 33. C16×D13 | C8 | semidirect |
| 53. C13×C16 | C2×C8 | semidirect |
| 55. #6090 | C2×C8 | semidirect |
| 60. #1372 | D13 | direct (N × H) |
| 121. D13 | #1372 | direct (N × H) |
| 142. C16 | C8×D13 | semidirect |
| 143. C13 | C2×#1372 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C16×D13 | 2 |
| D13×#335 | 2 |
| #13112910 | 2 |
| #13112909 | 2 |
| C13×#1372 | 2 |
| C2×#1372 | 13 |