Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
462 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 151 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. #13127989 | C2 | semidirect |
| 2. #13127977 | C2 | semidirect |
| 3. #13117156 | C2 | semidirect |
| 4. #13117151 | C2 | semidirect |
| 5. #13117145 | C2 | semidirect |
| 6. C2×#11718041 | C2 | semidirect |
| 7. C13×#2258 | C2 | semidirect |
| 13. C2×Dic104 | C22 | semidirect |
| 15. #11718565 | C22 | semidirect |
| 17. C13×M64 | C22 | semidirect |
| 18. C2×C13×C32 | C22 | semidirect |
| 19. Dic208 | C22 | semidirect |
| 20. #11718041 | C22 | semidirect |
| 21. #11718041 | C22 | semidirect |
| 22. #11718041 | C22 | semidirect |
| 23. D416 | C22 | semidirect |
| 73. #2258 | D13 | semidirect |
| 105. M64 | C2×D13 | semidirect |
| 106. C2×C32 | C2×D13 | semidirect |
| 161. C13 | #33983 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127989 | 2 |
| #13127977 | 2 |
| #13117156 | 2 |
| #13117151 | 2 |
| #13117145 | 2 |
| C2×#11718041 | 2 |
| C13×#2258 | 2 |
| #33983 | 13 |