Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
640 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 640 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13126152 | C2 | semidirect |
| 2. #13125777 | C2 | semidirect |
| 3. #13115780 | C2 | semidirect |
| 4. #13115764 | C2 | semidirect |
| 5. #13113331 | C2 | semidirect |
| 6. #13112687 | C2 | semidirect |
| 108. C13×M16 | SD16 | semidirect |
| 318. M16 | #6105 | semidirect |
| 342. C13 | #10194 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126152 | 2 |
| #13125777 | 2 |
| #13115780 | 2 |
| #13115764 | 2 |
| #13113331 | 2 |
| #13112687 | 2 |
| C13×#3151 | 2 |
| #10194 | 13 |