Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
472 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 109 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×#11718157 | C2 | semidirect |
| 5. #13112949 | C2 | semidirect |
| 6. #13112940 | C2 | semidirect |
| 7. C2×C13×#362 | C2 | semidirect |
| 118. C2×#362 | D13 | semidirect |
| 277. C13 | #13006 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718853 | 2 |
| #13123444 | 2 |
| C2×#11718157 | 2 |
| #13116465 | 2 |
| #13112949 | 2 |
| #13112940 | 2 |
| C2×C13×#362 | 2 |
| #13006 | 13 |