Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
498 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 4. #13112684 | C2 | semidirect |
| 5. #13112683 | C2 | semidirect |
| 6. #13112682 | C2 | semidirect |
| 7. C13×#1282 | C2 | semidirect |
| 132. #1282 | D13 | semidirect |
| 365. C13 | #8736 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117431 | 2 |
| C2×#11718060 | 2 |
| #13112684 | 2 |
| #13112683 | 2 |
| #13112682 | 2 |
| C13×#1282 | 2 |
| #8736 | 13 |