Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
804 conjugacy classes of subgroups; only the 130 normal subgroups are shown.
This group has 804 conjugacy classes of subgroups — too many to draw. Only its 130 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. #13130563 | C2 | semidirect |
| 3. C4×(C2×#261)⋊C4 | C2 | semidirect |
| 4. #13129709 | C2 | semidirect |
| 9. C2×#88147 | C4 | semidirect |
| 15. C13×#389 | C4 | semidirect |
| 18. C4⋊C4×Dic13 | C4 | semidirect |
| 19. #11718600 | C4 | semidirect |
| 23. #11718240 | C4 | semidirect |
| 56. (C2×#261)⋊C4 | C2×C4 | semidirect |
| 58. #88111 | C2×C4 | semidirect |
| 89. C2×D52 | C42 | semidirect |
| 111. C13×C4⋊C4 | C42 | semidirect |
| 198. #389 | #261 | semidirect |
| 339. C4⋊C4 | C4×#261 | semidirect |
| 351. C13 | #8218 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130563 | 2 |
| C2×#11718240 | 2 |
| C4×(C2×#261)⋊C4 | 2 |
| #13129709 | 2 |
| #13117344 | 2 |
| #8218 | 13 |