Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
302 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 88 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. #13129986 | C2 | direct (N × H) |
| 7. C2×C13×Q32 | C4 | semidirect |
| 11. D13×Q32 | C4 | semidirect |
| 13. C2×Dic104 | C4 | semidirect |
| 33. C13×Q32 | C2×C4 | semidirect |
| 39. Dic104 | C2×C4 | semidirect |
| 108. C2×Q32 | #261 | semidirect |
| 143. Q32 | C2×#261 | semidirect |
| 153. C2×C13 | #1416 | semidirect |
| 155. D13 | #1416 | semidirect |
| 186. C13 | C2×#1416 | semidirect |
| 225. C2 | #13129986 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D13⋊C32 | 2 |
| C2×#11718221 | 2 |
| #13129986 | 2 |
| C2×D13×Q32 | 2 |
| C2×#1416 | 13 |