Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
206 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 206 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 4. C4⋊#88034 | C2 | semidirect |
| 5. #13113031 | C2 | semidirect |
| 6. #13113031 | C2 | semidirect |
| 7. C13×C4⋊C32 | C2 | semidirect |
| 65. C4⋊C32 | D13 | semidirect |
| 145. C13 | #13628 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718039 | 2 |
| C2×D13×C32 | 2 |
| #13116431 | 2 |
| C4⋊#88034 | 2 |
| #13113031 | 2 |
| C13×C4⋊C32 | 2 |
| #13628 | 13 |