Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
322 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 163 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 |
|---|---|---|
| 3. #13112755 | C2 | semidirect |
| 4. #13112754 | C2 | semidirect |
| 5. C13×#1312 | C2 | semidirect |
| 56. #1312 | D13 | semidirect |
| 68. C8×C13 | M32 | semidirect |
| 72. #1055 | M32 | semidirect |
| 132. C13 | #11402 | semidirect |
| 147. C8 | #88038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88038 | 2 |
| C82×D13 | 2 |
| #13112755 | 2 |
| #13112754 | 2 |
| C13×#1312 | 2 |
| #11402 | 13 |