Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
306 conjugacy classes of subgroups; only the 146 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 146 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. #1057⋊C16 | C2 | semidirect |
| 4. C16×#1057 | C2 | semidirect |
| 44. #6122 | C16 | direct (N × H) |
| 60. C13×C16 | M16 | semidirect |
| 62. #6090 | M16 | semidirect |
| 80. #1057 | C2×C16 | semidirect |
| 156. C16 | #6122 | direct (N × H) |
| 157. C13 | C16×M16 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131194 | 2 |
| C8×#6122 | 2 |
| #1057⋊C16 | 2 |
| C16×#1057 | 2 |
| C2×C16×Dic13 | 2 |
| C16×M16 | 13 |