Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
444 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 93 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. #13115806 | C2 | semidirect |
| 3. #13114969 | C2 | semidirect |
| 4. C2×#11718135 | C2 | semidirect |
| 6. #13112717 | C2 | semidirect |
| 333. C13 | #10426 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115806 | 2 |
| #13115653 | 2 |
| #13114969 | 2 |
| C2×#11718135 | 2 |
| C2×#11718132 | 2 |
| #13112717 | 2 |
| C13×#2820 | 2 |
| #10426 | 13 |