Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
3262 conjugacy classes of subgroups; only the 1067 normal subgroups are shown.
This group has 3262 conjugacy classes of subgroups — too many to draw. Only its 1067 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. C2×#11718360 | C2 | direct (N × H) |
| 14. #11718360 | C22 | direct (N × H) |
| 33. C22×C4×C13 | Q16 | semidirect |
| 58. C2×C4×C13 | C2×Q16 | semidirect |
| 78. C22×C13 | #494 | semidirect |
| 83. C4×C13 | C22×Q16 | semidirect |
| 102. C2×C13 | C2×#494 | semidirect |
| 112. C22×C4 | Dic52 | semidirect |
| 123. C13 | C22×#494 | semidirect |
| 132. C2×C4 | C2×Dic52 | semidirect |
| 138. C22 | #11718360 | direct (N × H) |
| 144. C4 | C22×Dic52 | semidirect |
| 146. C2 | C2×#11718360 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×Dic52 | 2 |
| C22×#88123 | 2 |
| C2×#11718360 | 2 |
| C22×C4×C8×C13 | 2 |
| C22×#494 | 13 |