Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
458 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 81 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. #13126052 | C2 | semidirect |
| 4. #13113308 | C2 | semidirect |
| 5. #13113258 | C2 | semidirect |
| 7. C13×#1291 | C2 | semidirect |
| 135. #1291 | D13 | semidirect |
| 312. C13 | #10125 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126052 | 2 |
| #13125841 | 2 |
| #13125223 | 2 |
| #13113308 | 2 |
| #13113258 | 2 |
| #13113189 | 2 |
| C13×#1291 | 2 |
| #10125 | 13 |