Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1072 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 1072 conjugacy classes of subgroups — too many to draw. Only its 179 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. #13125388 | C2 | semidirect |
| 3. #13124659 | C2 | semidirect |
| 4. #13120781 | C2 | semidirect |
| 5. #13116047 | C2 | semidirect |
| 6. #13115816 | C2 | semidirect |
| 7. #13115048 | C2 | semidirect |
| 8. #13114649 | C2 | semidirect |
| 9. C13×#1965 | C2 | semidirect |
| 115. C13×M16 | #41 | semidirect |
| 147. #1965 | D13 | semidirect |
| 313. M16 | #6129 | semidirect |
| 339. C13 | #25690 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13128710 | 2 |
| #13125388 | 2 |
| #13124659 | 2 |
| #13120781 | 2 |
| #13116047 | 2 |
| #13115816 | 2 |
| #13115048 | 2 |
| #13114649 | 2 |
| C13×#1965 | 2 |
| #25690 | 13 |