Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
708 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 708 conjugacy classes of subgroups — too many to draw. Only its 144 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. C4⋊C8×#261 | C2 | semidirect |
| 4. #13129715 | C2 | semidirect |
| 16. #11718297 | C4 | semidirect |
| 18. C13×#331 | C4 | semidirect |
| 19. #11718136 | C4 | semidirect |
| 20. #11718077 | C4 | semidirect |
| 42. #88112 | C2×C4 | semidirect |
| 45. C13×C4⋊C8 | C2×C4 | semidirect |
| 47. C4⋊#1055 | C2×C4 | semidirect |
| 149. #331 | #261 | direct (N × H) |
| 165. #261 | #331 | direct (N × H) |
| 197. C4⋊C8 | C2×#261 | semidirect |
| 248. C13 | C4×#331 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #127×#261 | 2 |
| C4⋊C8×#261 | 2 |
| D13⋊#331 | 2 |
| #13129715 | 2 |
| D13×#331 | 2 |
| C4×#331 | 13 |