Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
594 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 594 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 3. #13115816 | C2 | semidirect |
| 4. #13113401 | C2 | semidirect |
| 5. #13112696 | C2 | semidirect |
| 6. #13112664 | C2 | semidirect |
| 17. #11718737 | C4 | semidirect |
| 19. #11718731 | C4 | semidirect |
| 50. #88123 | C2×C4 | semidirect |
| 51. #88123 | C2×C4 | semidirect |
| 66. C4×#1055 | C2×C4 | semidirect |
| 117. C4×Dic13 | SD16 | semidirect |
| 312. C13 | #9295 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125777 | 2 |
| #13117562 | 2 |
| #13115816 | 2 |
| #13113401 | 2 |
| #13112696 | 2 |
| #13112664 | 2 |
| C13×#1545 | 2 |
| #9295 | 13 |