Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
612 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 84 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. #13131012 | C2 | semidirect |
| 3. #13130228 | C2 | semidirect |
| 5. #13129723 | C2 | semidirect |
| 6. #13129688 | C2 | semidirect |
| 19. C13×#461 | C4 | semidirect |
| 22. #11718744 | C4 | semidirect |
| 23. #11718668 | C4 | semidirect |
| 24. #11718507 | C4 | semidirect |
| 45. C13×C4⋊Q8 | C2×C4 | semidirect |
| 62. #88123 | C2×C4 | semidirect |
| 73. C13×C4⋊C8 | C2×C4 | semidirect |
| 82. C4⋊#1055 | C2×C4 | semidirect |
| 204. #461 | #261 | semidirect |
| 256. C4⋊Q8 | C2×#261 | semidirect |
| 283. C4⋊C8 | C2×#261 | semidirect |
| 363. C13 | #9323 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131275 | 2 |
| #13131012 | 2 |
| #13130228 | 2 |
| #13130176 | 2 |
| #13129723 | 2 |
| #13129688 | 2 |
| #13124934 | 2 |
| #9323 | 13 |