Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
520 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 95 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. #13124487 | C2 | semidirect |
| 3. C2×#11718157 | C2 | semidirect |
| 4. #13116572 | C2 | semidirect |
| 5. #13116465 | C2 | semidirect |
| 6. #13112951 | C2 | semidirect |
| 7. C2×C13×#510 | C2 | semidirect |
| 143. C2×#510 | D13 | semidirect |
| 347. C13 | #13311 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124552 | 2 |
| #13124487 | 2 |
| C2×#11718157 | 2 |
| #13116572 | 2 |
| #13116465 | 2 |
| #13112951 | 2 |
| C2×C13×#510 | 2 |
| #13311 | 13 |