Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
240 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 77 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 |
|---|---|---|
| 2. C8×D104 | C2 | semidirect |
| 3. #13112909 | C2 | semidirect |
| 4. #13112797 | C2 | semidirect |
| 5. #13112796 | C2 | semidirect |
| 6. #13112754 | C2 | semidirect |
| 7. C13×#1589 | C2 | semidirect |
| 65. D104 | M16 | semidirect |
| 71. #1589 | D13 | semidirect |
| 180. C13 | #12073 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88066 | 2 |
| C8×D104 | 2 |
| #13112909 | 2 |
| #13112797 | 2 |
| #13112796 | 2 |
| #13112754 | 2 |
| C13×#1589 | 2 |
| #12073 | 13 |