Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
262 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 144 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 |
|---|---|---|
| 2. #13129867 | C2 | direct (N × H) |
| 18. C2×C13×C16 | C8 | semidirect |
| 43. C13×C16 | C2×C8 | semidirect |
| 92. C2×C16 | #1057 | semidirect |
| 100. C2×C13 | #1371 | semidirect |
| 121. C16 | C2×#1057 | semidirect |
| 122. C13 | C2×#1371 | semidirect |
| 153. C2 | #13129867 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718254 | 2 |
| #13129867 | 2 |
| C2×C16×Dic13 | 2 |
| C2×#1371 | 13 |