Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1380 conjugacy classes of subgroups; only the 211 normal subgroups are shown.
This group has 1380 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×#11718808 | C2 | semidirect |
| 2. #13124417 | C2 | semidirect |
| 3. #13116765 | C2 | semidirect |
| 4. #13116748 | C2 | semidirect |
| 5. #13116552 | C2 | semidirect |
| 6. #13116447 | C2 | semidirect |
| 7. C23×C13×D8 | C2 | semidirect |
| 16. C2×#88158 | C22 | semidirect |
| 17. C2×#88067 | C22 | semidirect |
| 19. C2×#88066 | C22 | semidirect |
| 20. #11718777 | C22 | semidirect |
| 21. #11718776 | C22 | semidirect |
| 24. #11718767 | C22 | semidirect |
| 25. C2×#88052 | C22 | semidirect |
| 26. #11718154 | C22 | semidirect |
| 27. C22⋊#6090 | C22 | semidirect |
| 43. C2×C13×D8 | D4 | semidirect |
| 56. C2×Dic52 | C23 | semidirect |
| 58. C2×D104 | C23 | semidirect |
| 63. #88058 | C23 | semidirect |
| 67. C2×#6090 | C23 | semidirect |
| 117. C23×D8 | D13 | semidirect |
| 190. C22×C13 | #509 | semidirect |
| 219. C2×D8 | C22⋊D13 | semidirect |
| 294. C13 | #33517 | semidirect |
| 342. C22 | #11718808 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718808 | 2 |
| #13124417 | 2 |
| #13116765 | 2 |
| #13116748 | 2 |
| #13116552 | 2 |
| #13116447 | 2 |
| C23×C13×D8 | 2 |
| #33517 | 13 |