Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1124 conjugacy classes of subgroups; only the 211 normal subgroups are shown.
This group has 1124 conjugacy classes of subgroups — too many to draw. Only its 211 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 |
|---|---|---|
| 1. C2×#11718840 | C2 | semidirect |
| 3. #13116770 | C2 | semidirect |
| 4. #13116753 | C2 | semidirect |
| 5. #13116556 | C2 | semidirect |
| 6. #13116447 | C2 | semidirect |
| 7. C23×C13×Q16 | C2 | semidirect |
| 17. C2×#88069 | C22 | semidirect |
| 19. C2×#88068 | C22 | semidirect |
| 26. #11718156 | C22 | semidirect |
| 43. C2×C13×Q16 | D4 | semidirect |
| 116. C23×Q16 | D13 | semidirect |
| 181. C22×C13 | #510 | semidirect |
| 209. C2×Q16 | C22⋊D13 | semidirect |
| 284. C13 | #33518 | semidirect |
| 324. C22 | #11718840 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718840 | 2 |
| #13124417 | 2 |
| #13116770 | 2 |
| #13116753 | 2 |
| #13116556 | 2 |
| #13116447 | 2 |
| C23×C13×Q16 | 2 |
| #33518 | 13 |