Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
536 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 536 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 |
|---|---|---|
| 1. #13123920 | C2 | semidirect |
| 4. #13113179 | C2 | semidirect |
| 5. #13112693 | C2 | semidirect |
| 6. #13112691 | C2 | semidirect |
| 310. C13 | #9458 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123920 | 2 |
| #13119839 | 2 |
| #13113550 | 2 |
| #13113179 | 2 |
| #13112693 | 2 |
| #13112691 | 2 |
| C13×#1555 | 2 |
| #9458 | 13 |