Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
666 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 666 conjugacy classes of subgroups — too many to draw. Only its 127 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. #13116447 | C2 | semidirect |
| 3. #13112759 | C2 | semidirect |
| 4. C13×#2112 | C2 | semidirect |
| 17. C13×C22⋊C16 | C22 | semidirect |
| 19. C22⋊#6090 | C22 | semidirect |
| 101. #2112 | D13 | semidirect |
| 120. C22×D13 | M32 | semidirect |
| 162. C22⋊C16 | C2×D13 | semidirect |
| 272. C13 | #11418 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88060 | 2 |
| #13116447 | 2 |
| #13112759 | 2 |
| C13×#2112 | 2 |
| #11418 | 13 |